Relevant bibliographies by topics / Sinh-Gordon model

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  2. Dissertations / Theses
  3. Book chapters

Academic literature on the topic 'Sinh-Gordon model'

Author: Grafiati
Published: 2 November 2024
Last updated: 31 July 2025

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Journal articles on the topic "Sinh-Gordon model"

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Sulaiman, Tukur Abdulkadir, and Hasan Bulut. "The new extended rational SGEEM for construction of optical solitons to the (2+1)–dimensional Kundu–Mukherjee–Naskar model." Applied Mathematics and Nonlinear Sciences 4, no. 2 (2019): 513–22. http://dx.doi.org/10.2478/amns.2019.2.00048.

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AbstractThis work proposes the new extended rational sinh-Gordon equation expansion technique (SGEEM). The computational approach is formulated based on the well-known sinh-Gordon equation. The proposed technique generalizes the sine-Gordon/sinh-Gordon expansion methods in a rational format. The efficiency of the suggested technique is tested on the (2+1)imensional Kunduukherjeeaskar (KMN) model. Various of optical soliton solutions have been obtained using this new method. The conditions which guarantee the existence of valid solitons are given.
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Alzaleq, Lewa’, Du’a Al-zaleq, and Suboh Alkhushayni. "Traveling Waves for the Generalized Sinh-Gordon Equation with Variable Coefficients." Mathematics 10, no. 5 (2022): 822. http://dx.doi.org/10.3390/math10050822.

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The sinh-Gordon equation is simply the classical wave equation with a nonlinear sinh source term. It arises in diverse scientific applications including differential geometry theory, integrable quantum field theory, fluid dynamics, kink dynamics, and statistical mechanics. It can be used to describe generic properties of string dynamics for strings and multi-strings in constant curvature space. In the present paper, we study a generalized sinh-Gordon equation with variable coefficients with the goal of obtaining analytical traveling wave solutions. Our results show that the traveling waves of
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FENG, SZE-SHIANG, and GUANG-JIONG NI. "GAUSSIAN EFFECTIVE POTENTIAL ANALYSIS OF SINH(SINE)–GORDON MODELS NEW REGULARIZATION–RENORMALIZATION SCHEME." International Journal of Modern Physics A 14, no. 27 (1999): 4259–74. http://dx.doi.org/10.1142/s0217751x99002001.

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Using the new regularization and renormalization scheme recently proposed by Yang and used by Ni et al., we analyze the sine–Gordon and sinh–Gordon models within the framework of Gaussian effective potential in D+1 dimensions. Our analysis suffers no divergence and so does not suffer from the manipulational obscurities in the conventional analysis of divergent integrals. Our main conclusions agree exactly with those of Ingermanson for D=1,2 but disagree for D=3: the D=3 sinh(sine)–Gordon model is nontrivial. Furthermore, our analysis shows that for D=1,2, the running coupling constant (RCC) ha
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BABUJIAN, H., and M. KAROWSKI. "TOWARDS THE CONSTRUCTION OF WIGHTMAN FUNCTIONS OF INTEGRABLE QUANTUM FIELD THEORIES." International Journal of Modern Physics A 19, supp02 (2004): 34–49. http://dx.doi.org/10.1142/s0217751x04020294.

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The purpose of the "bootstrap program" for integrable quantum field theories in 1+1 dimensions is to construct a model in terms of its Wightman functions explicitly. In this article, the program is mainly illustrated in terms of the sine-Gordon and the sinh-Gordon model and (as an exercise) the scaling Ising model. We review some previous results on sine-Gordon breather form factors and quantum operator equations. The problem to sum over intermediate states is attacked in the short distance limit of the two point Wightman function for the sinh-Gordon and the scaling Ising model.
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PILLIN, MATHIAS. "THE FORM FACTORS IN THE SINH–GORDON MODEL." International Journal of Modern Physics A 13, no. 26 (1998): 4469–86. http://dx.doi.org/10.1142/s0217751x98002158.

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The most general solution to the form factor problem in the sinh–Gordon model is presented in an explicit way. The linearly independent classes of solutions correspond to powers of the elementary field. We show how the form factors of exponential operators can be obtained from the general solution by adjusting free parameters. The general formula obtained in the sinh–Gordon case reproduces the form factors of the scaling Lee–Yang model in a certain limit of the coupling constant.
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Corrigan, E., and G. W. Delius. "Boundary breathers in the sinh-Gordon model." Journal of Physics A: Mathematical and General 32, no. 49 (1999): 8601–14. http://dx.doi.org/10.1088/0305-4470/32/49/303.

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Sklyanin, E. K. "Exact quantization of the sinh-Gordon model." Nuclear Physics B 326, no. 3 (1989): 719–36. http://dx.doi.org/10.1016/0550-3213(89)90552-x.

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Volkov, A. Yu. "Liouville's equation and the lattice sinh-Gordon model." Journal of Soviet Mathematics 46, no. 5 (1989): 2065–77. http://dx.doi.org/10.1007/bf01096089.

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GRIGORIEV, MAXIM, and ARKADY TSEYTLIN. "REDUCED MODEL FOR SUPERSTRINGS ON AdSn × Sn." International Journal of Modern Physics A 23, no. 14n15 (2008): 2107–17. http://dx.doi.org/10.1142/s0217751x08040652.

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We review the Pohlmeyer reduction of the superstring sigma model on AdSn × Sn leading to a gauged WZW model with an integrable potential. In particular, we consider the case of GS superstrings on AdS3 × S3 supported by RR flux. The bosonic part of the reduced Lagrangian is given by the sum of the complex sine-Gordon Lagrangian and its sinh-Gordon counterpart. We determine the corresponding fermionic part and discuss possible 2d supersymmetry of the reduced action.
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Spano, N. I., A. R. Aguirre, J. F. Gomes, and A. H. Zimerman. "Fusing defect for theN= 2 super sinh-Gordon model." Journal of Physics: Conference Series 670 (January 25, 2016): 012049. http://dx.doi.org/10.1088/1742-6596/670/1/012049.

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Dissertations / Theses on the topic "Sinh-Gordon model"

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Ablikim, Medina. "Boundary sinh-Gordon model and its supersymmetric extension." Thesis, Durham University, 1999. http://etheses.dur.ac.uk/4853/.

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Three different aspects of the sinh-Gordon model are explored in this thesis. We begin, in chapter one, with a summary of the model and the necessary background. Chapter two studies the model with two boundary conditions. Two approaches are presented to investigate the reflection factors off the boundaries and the energy of the theory. In chapter three, perturbation theory is developed to study the theory with one general boundary condition. A contribution to the quantum reflection factor is obtained and compared with the result obtained for the special boundary condition. Chapters four and fi
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Chenaghlou, Alireza. "Quantum corrections to the classical reflection factor of the sinh-Gordon model." Thesis, Durham University, 2000. http://etheses.dur.ac.uk/4347/.

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This thesis studies the quantum reflection factor of the sinh-Gordon model under boundary conditions consistent with integrability. First, we review the affine Toda field theory in Chapter One. In particular, the classical and quantum integrability of the theory are reviewed on the whole line and on the half-line as well, that is, in the presence of a boundary. We next consider the sinh-Gordon model which is restricted to a half-line by boundary conditions maintaining integrability in Chapter Two. A perturbative calculation of the reflection factor is given to one loop order in the bulk coupli
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Ymai, Leandro Hayato [UNESP]. "Hierarquia mKdV e sinh-Gordon supersimétrica com N = 1." Universidade Estadual Paulista (UNESP), 2005. http://hdl.handle.net/11449/91845.

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Made available in DSpace on 2014-06-11T19:25:30Z (GMT). No. of bitstreams: 0 Previous issue date: 2005-02Bitstream added on 2014-06-13T18:53:35Z : No. of bitstreams: 1 ymai_lh_me_ift.pdf: 483788 bytes, checksum: 4f0df0fea1d850bbc366844622fd0b5f (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>Apresentamos a formulação da hierarquia mKdV e sinh-Gordon supersimétrica com N = 1 baseada na superálgebra de Kac-Moody sl(2,1). Obtivemos soluções para até quatro vértices para ambos os modelos de dressing e também discutimos a transformação de Bäcklund para o modelo sin
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Spano, Nathaly Infantini [UNESP]. "Constantes de Movimento para o Modelo Sinh-Gordon Supersimétrico N = 1 com Defeito." Universidade Estadual Paulista (UNESP), 2014. http://hdl.handle.net/11449/108891.

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Made available in DSpace on 2014-08-27T14:36:43Z (GMT). No. of bitstreams: 0 Previous issue date: 2014-02-26Bitstream added on 2014-08-27T15:57:06Z : No. of bitstreams: 1 000779585.pdf: 490905 bytes, checksum: 4be821466eef44081de06d52cc384cf3 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>A partir dos geradores da superágebra de Kac-Moody 's TIL'l(2,1) escrevemos o par de Lax para o modelo sinh-Gordon supersimétrico. Em adição, veri?camos que através da equação de curvatura nula o Lax obtido, reproduz as equações de movimento do modelo. Para a análise de teor
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Spano, Nathaly Infantini. "Constantes de Movimento para o Modelo Sinh-Gordon Supersimétrico N = 1 com Defeito /." São Paulo, 2014. http://hdl.handle.net/11449/108891.

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Orientador: Abraham Hirsz Zimerman<br>Co-orientador: José Francisco Gomes<br>Banca: Marco Aurélio Cattacin Kneipp<br>Banca: Leandro Hayato Ymai<br>Resumo: A partir dos geradores da superágebra de Kac-Moody 's TIL'l(2,1) escrevemos o par de Lax para o modelo sinh-Gordon supersimétrico. Em adição, verificamos que através da equação de curvatura nula o Lax obtido, reproduz as equações de movimento do modelo. Para a análise de teorias com defeito calculamos, por meio de uma transformação de Gauge, a matriz de defeito para o modelo sinh-Gordon supersimétrico, e apresentamos o resultado similar obtid
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Dworaczek, Guera Charlie. "Analyse asymptotiques d'intégrales multiples : au-delà des beta-ensembles classiques." Electronic Thesis or Diss., Lyon, École normale supérieure, 2024. http://www.theses.fr/2024ENSL0036.

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Cette thèse vise à étendre les techniques mathématiques qui permettent d’extraire le comportement asymptotique de certaines intégrales multiples quand le nombre d’intégrales tend vers l’infini. Un cas très bien compris est celui de la fonction de partition des beta-ensembles classiques. Les techniques probabilistes de grandes déviations et d’analyse des équations de boucles forment l’arsenal classique pour son étude et permettent de comprendre son comportement asymptotique dans une large généralité. Des généralisations non-triviales de cette intégrale multiple sont étudiés dans ce manuscrit: l
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Runov, Boris. "Integrability of Bukhvostov-Lipatov model and ODE/IQFT correspondence." Phd thesis, 2018. http://hdl.handle.net/1885/148417.

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We consider Bukhvostov-Lipatov model, an integrable quantum field theory in two dimensions that arises as an approximation to O(3) NLSM. We compute its vacuum energy on a cylinder with twisted boundary conditions in weak coupling limit using renormalized perturbation theory, and in the short distance limit using conformal perturbation theory. The exact solution of this model via coordinate Bethe ansatz is provided. Two different regularizations of Bethe ansatz equations are constructed. The vacuum state is constructed and the vacuum energy is
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Book chapters on the topic "Sinh-Gordon model"

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Kozlowski, Karol Kajetan. "Bootstrap approach to 1+1-dimensional integrable quantum field theories: the case of the Sinh-Gordon model." In International Congress of Mathematicians. EMS Press, 2023. http://dx.doi.org/10.4171/icm2022/96.

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