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Relevant bibliographies by topics / Korteweg-de Vries systems

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Academic literature on the topic 'Korteweg-de Vries systems'

Author: Grafiati

Published: 4 June 2021

Last updated: 12 February 2022

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Journal articles on the topic "Korteweg-de Vries systems"

1

Loris, Ignace. "Solutions of Coupled Korteweg-de Vries Systems." Journal of the Physical Society of Japan 70, no. 3 (2001): 662–65. http://dx.doi.org/10.1143/jpsj.70.662.

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Yushkov, E. V. "Blowup in Korteweg-de Vries-type systems." Theoretical and Mathematical Physics 173, no. 2 (2012): 1498–506. http://dx.doi.org/10.1007/s11232-012-0129-z.

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Langer, Joel, and Ron Perline. "Curve motion inducing modified Korteweg-de Vries systems." Physics Letters A 239, no. 1-2 (1998): 36–40. http://dx.doi.org/10.1016/s0375-9601(97)00945-6.

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Karasu, Ayşe (Kalkanli). "Painlevé classification of coupled Korteweg–de Vries systems." Journal of Mathematical Physics 38, no. 7 (1997): 3616–22. http://dx.doi.org/10.1063/1.532056.

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Leble, S. B., and N. V. Ustinov. "Korteweg‐de Vries–modified Korteweg‐de Vries systems and Darboux transforms in 1+1 and 2+1 dimensions." Journal of Mathematical Physics 34, no. 4 (1993): 1421–28. http://dx.doi.org/10.1063/1.530165.

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Buchstaber, V. M. "Polynomial dynamical systems and the Korteweg—de Vries equation." Proceedings of the Steklov Institute of Mathematics 294, no. 1 (2016): 176–200. http://dx.doi.org/10.1134/s0081543816060110.

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7

Espinosa-Cerón, A., B. A. Malomed, J. Fujioka, and R. F. Rodríguez. "Symmetry breaking in linearly coupled Korteweg-de Vries systems." Chaos: An Interdisciplinary Journal of Nonlinear Science 22, no. 3 (2012): 033145. http://dx.doi.org/10.1063/1.4752244.

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KARASU(KALKANLI), AYŞE, and TUBA KILIÇ. "INTEGRABILITY OF A NONAUTONOMOUS COUPLED KdV SYSTEM." International Journal of Modern Physics C 15, no. 05 (2004): 609–17. http://dx.doi.org/10.1142/s0129183104006145.

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The Painlevé property of coupled, nonautonomous Korteweg–de Vries (KdV) type of systems is studied. The conditions under which the systems pass the Painlevé test for integrability are obtained. For some of the integrable cases, exact solutions are given.

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Inc, M., and Y. Cherruault. "A reliable approach to the Korteweg‐de Vries equation." Kybernetes 34, no. 7/8 (2005): 951–59. http://dx.doi.org/10.1108/03684920510605777.

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10

Marx, Swann, and Eduardo Cerpa. "Output feedback stabilization of the Korteweg–de Vries equation." Automatica 87 (January 2018): 210–17. http://dx.doi.org/10.1016/j.automatica.2017.07.057.

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Dissertations / Theses on the topic "Korteweg-de Vries systems"

1

Dag, Huseyin. "A Class Of Super Integrable Korteweg-de Vries Systems." Master's thesis, METU, 2003. http://etd.lib.metu.edu.tr/upload/4/1079854/index.pdf.

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In this thesis, we investigate the integrability of a class of multicomponent super integrable Korteweg-de Vries (KdV) systems in (1 + 1) dimensions in the context of recursion operator formalism. Integrability conditions are obtained for the system with arbitrary number of components. In particular, from these conditions we construct two new subclasses of multicomponent super integrable KdV systems.

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Simsek, Gorkem. "Energy Preserving Methods For Korteweg De Vries Type Equations." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12614216/index.pdf.

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Two well-known types of water waves are shallow water waves and the solitary waves. The former waves are those waves which have larger wavelength than the local water depth and the latter waves are used for the ones which retain their shape and speed after colliding with each other. The most well known of the latter waves are Korteweg de Vries (KdV) equations, which are widely used in many branches of physics and engineering. These equations are nonlinear long waves and mathematically represented by partial differential equations (PDEs). For solving the KdV and KdV-type equations, several nume

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3

Kitsos, Constantinos. "Synthèse des observateurs grand gain pour des systèmes d' EDP." Thesis, Université Grenoble Alpes, 2020. http://www.theses.fr/2020GRALT031.

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Cette thèse introduit quelques extensions non-triviales de la synthèse classique des observateurs grand gain pour des systèmes nonlinéaires de dimension finie à quelques classes de systèmes de dimension infinie, ayant la forme de systèmes triangulaires décrites par des équations différentielles aux dérivées partielles (EDP) couplées, où une seule coordonnée de l' état dans tout le domaine spatial est considérée comme la sortie du système. Pour aborder ce problème, des synthèses directes et indirectes d' observateurs sont proposées, en fonction d' une propriété de l' opérateur différentiel, ass

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Bárcena, Petisco Jon Asier. "Résultats sur la contrôlabilité à zéro de quelques systèmes paraboliques et dispersifs." Thesis, Sorbonne université, 2020. http://www.theses.fr/2020SORUS010.

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Dans ce mémoire on étudie, en adaptant les techniques de Fursikov-Imanuvilov, la contrôlabilité à zéro par l'intermédiaire de contrôles localisés à l'intérieur de quelques systèmes paraboliques et dispersifs. Plus précisément, dans le Chapitre 2 on démontre que, à l'aide d'une hypothèse géométrique, on peut contrôler à zéro un système pénalisé de Stokes dans un domaine Ω ⊂ ℝ² à l'aide d'une force scalaire et avec le coût du contrôle uniforme par rapport au paramètre qui tend vers zéro. Dans le Chapitre 3 on étudie le coût du contrôle d'un système de Stokes avec des conditions aux limites de no

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Moreno, Claudia. "Control of partial differential equations systems of dispersive type." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPASV031.

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Il existe peu de résultats dans la littérature sur la contrôlabilité du système d'équations aux dérivées partielles. Dans cette thèse, nous considérons l'étude des propriétés de contrôle pour trois systèmes couplés d'équations aux dérivées partielles de type dispersif et un problème inverse de récupération d’un coefficient. Le premier système est formé par N équations de Korteweg-de Vries sur un réseau en forme d'étoile. Pour ce système, nous étudierons la contrôlabilité exacte avec N contrôles placés aux extrémités du réseau. Le deuxième système couple trois équations de Korteweg-de Vries. Ce

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Marx, Swann. "Méthodes de stabilisation de systèmes non-linéaires avec des mesures partielles et des entrées contraintes." Thesis, Université Grenoble Alpes (ComUE), 2017. http://www.theses.fr/2017GREAT040/document.

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Cette thèse a pour sujet la stabilisation de systèmes non-linéaires avec des mesures partielles et des entrées contraintes. Les deux premiers chapitres traitent du problème des entrées saturées dans le contexte des systèmes de dimension infinie pour des équations nonlinéaires abstraites et une équation aux dérivées partielles nonlinéaire particulière, l'équation de Korteweg-de Vries. Les outils mathématiques utilisés pour obtenir des résultats Le troisième chapitre propose une méthode de synthèse de retour de sortie pour deux équations de Korteweg-de Vries. Le quatrième chapitre concerne la sy

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Capistrano, Filho Roberto De Almeida. "Contrôle d'équations dispersives pour les ondes de surface." Thesis, Université de Lorraine, 2014. http://www.theses.fr/2014LORR0031/document.

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Dans cette thèse, nous prouvons des résultats concernant le contrôle et la stabilisation d'équations dispersives étudiées sur un intervalle borné. Pour commencer, nous étudions la stabilisation interne du système de Gear-Grimshaw, qui est un système de deux équations de Korteweg-de-Vries (KdV) couplées. Nous obtenons une décroissance exponentielle de l'énergie totale associée au modèle en introduisant une fonction de Lyapunov convenable. Nous prouvons aussi des résultats de contrôlabilité à zéro et exacte pour l'équation de Korteweg-de Vries avec un contrôle distribué à support dans un sous-in

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Books on the topic "Korteweg-de Vries systems"

1

Jürgen, Pöschel, ed. KdV & KAM. Springer, 2003.

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Kappeler, Thomas. KdV & KAM. Springer, 2003.

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3

Dzhamay, Anton, Christopher W. Curtis, Willy A. Hereman, and B. Prinari. Nonlinear wave equations: Analytic and computational techniques : AMS Special Session, Nonlinear Waves and Integrable Systems : April 13-14, 2013, University of Colorado, Boulder, CO. American Mathematical Society, 2015.

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4

Hersh, Reuben. Peter Lax, mathematician: An illustrated memoir. American Mathematical Society, 2015.

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5

Mann, Peter. Near-Integrable Systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0024.

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This chapter extends the now familiar Lagrangian formulation to a field theory and covers elementary material in this new setting. The motion of systems with a very large number of degrees of freedom makes it necessary to specify an almost infinite number of discrete coordinates. It is possible to simplify the situation by taking the continuum limit, which replaces the individual coordinates with a continuous function that describes a displacement field, which assigns a displacement vector to each position the system could occupy relative to an equilibrium configuration. The field thus takes a

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Kappeler, Thomas, and Jürgen Pöschel. KdV & KAM (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics). Springer, 2003.

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Book chapters on the topic "Korteweg-de Vries systems"

1

Grimshaw, R. "Coupled Korteweg–de Vries Equations." In Understanding Complex Systems. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-34070-3_28.

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2

Kaya, Doğan. "Korteweg–de Vries Equation (KdV) and Modified Korteweg–de Vries Equations (mKdV), Semi-analytical Methods for Solving the." In Mathematics of Complexity and Dynamical Systems. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-1806-1_53.

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Kaya, Doğan. "Korteweg–de Vries Equation (KdV) and Modified Korteweg–de Vries Equations (mKdV), Semi-analytical Methods for Solving the." In Encyclopedia of Complexity and Systems Science. Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-30440-3_305.

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Kaya, Doğan. "Korteweg-de Vries Equation (KdV) and Modified Korteweg-de Vries Equations (mKdV), Semi-analytical Methods for Solving the." In Encyclopedia of Complexity and Systems Science. Springer New York, 2014. http://dx.doi.org/10.1007/978-3-642-27737-5_305-2.

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Debnath, Lokenath. "Water Waves and the Korteweg–de Vries Equation." In Mathematics of Complexity and Dynamical Systems. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-1806-1_113.

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Debnath, Lokenath. "Water Waves and the Korteweg–de Vries Equation." In Encyclopedia of Complexity and Systems Science. Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-30440-3_586.

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7

Zhang, Bing-Yu. "Boundary Stabilization of the Korteweg-De Vries Equation." In Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena. Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-8530-0_21.

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8

van Gils, Stephan A., and Edy Soewono. "Modulated waves in a perturbed Korteweg-de Vries equation." In Nonlinear Dynamical Systems and Chaos. Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-7518-9_15.

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9

Debnath, Lokenath. "Water Waves and the Korteweg and de Vries Equation." In Encyclopedia of Complexity and Systems Science. Springer New York, 2014. http://dx.doi.org/10.1007/978-3-642-27737-5_586-2.

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10

Rozmej, Piotr, and Anna Karczewska. "Adiabatic Invariants of Second Order Korteweg-de Vries Type Equation." In Understanding Complex Systems. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-66766-9_6.

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Conference papers on the topic "Korteweg-de Vries systems"

1

Salem, Ali, Lotfi Beji, Samir Otmane, and Azgal Abichou. "Exact boundary controllability for Korteweg-de Vries equation." In INTELLIGENT SYSTEMS AND AUTOMATION: 2nd Mediterranean Conference on Intelligent Systems and Automation (CISA’09). AIP, 2009. http://dx.doi.org/10.1063/1.3106478.

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2

Shuxia Tang and Miroslav Krstic. "Stabilization of linearized Korteweg-de Vries systems with anti-diffusion." In 2013 American Control Conference (ACC). IEEE, 2013. http://dx.doi.org/10.1109/acc.2013.6580341.

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Tang, Shuxia, and Miroslav Krstic. "Stabilization of linearized Korteweg-de Vries systems with anti-diffusion by boundary feedback with non-collocated observation." In 2015 American Control Conference (ACC). IEEE, 2015. http://dx.doi.org/10.1109/acc.2015.7171020.

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Qu, Yan, Zhijun Song, Bin Teng, and Yunxiang You. "Dynamic Response of SPAR in Internal Solitary Waves." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-49413.

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Internal solitary wave is considered as a potential hazard environmental condition to the floating structures in South China Sea. This paper presents results of the dynamic response analysis of a SPAR in internal solitary waves (ISW). Mathematical model of the ISW is selected to simulate the current process induced by the ISW. The result shows that the Korteweg–de Vries (KdV) gives rational result compared with the Modified Korteweg–de Vries (MKdV) equation. Dynamic motion of SPAR were estimated by using the current profile derived from KDV theory, load determined by Morrison equation and the

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Lu, Lu, Dong-Xia Zhao, and Lin-Hong Yao. "Exponential stability for linearized Korteweg-de Vries-ODE system." In 2014 26th Chinese Control And Decision Conference (CCDC). IEEE, 2014. http://dx.doi.org/10.1109/ccdc.2014.6852830.

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Kurup, Nishu V., Shan Shi, Zhongmin Shi, Wenju Miao, and Lei Jiang. "Study of Nonlinear Internal Waves and Impact on Offshore Drilling Units." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-50304.

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Internal waves near the ocean surface have been observed in many parts of the world including the Andaman Sea, Sulu Sea and South China Sea among others. The factors that cause and propagate these large amplitude waves include bathymetry, density stratification and ocean currents. Although their effects on floating drilling platforms and its riser systems have not been extensively studied, these waves have in the past seriously disrupted offshore exploration and drilling operations. In particular a drill pipe was ripped from the BOP and lost during drilling operations in the Andaman sea. Drill

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7

Motsepa, Tanki, and Chaudry Masood Khalique. "Travelling wave solutions of a coupled Korteweg-de Vries-Burgers system." In PROGRESS IN APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING PROCEEDINGS. AIP Publishing LLC, 2016. http://dx.doi.org/10.1063/1.4940275.

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Khalique, Chaudry Masood. "Solutions of a Generalized Complexly Coupled Korteweg-de Vries System Using Simplest Equation Method." In 2014 International Conference on Computational Science and Computational Intelligence (CSCI). IEEE, 2014. http://dx.doi.org/10.1109/csci.2014.123.

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