Relevant bibliographies by topics / Generalized Pochhammer- Chree equation

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Academic literature on the topic 'Generalized Pochhammer- Chree equation'

Author: Grafiati
Published: 3 June 2025
Last updated: 20 July 2025

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Journal articles on the topic "Generalized Pochhammer- Chree equation"

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Zayed, E. M. E., and K. A. E. Alurrfi. "The Generalized Projective Riccati Equations Method for Solving Nonlinear Evolution Equations in Mathematical Physics." Abstract and Applied Analysis 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/259190.

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We apply the generalized projective Riccati equations method to find the exact traveling wave solutions of some nonlinear evolution equations with any-order nonlinear terms, namely, the nonlinear Pochhammer-Chree equation, the nonlinear Burgers equation and the generalized, nonlinear Zakharov-Kuznetsov equation. This method presents wider applicability for handling many other nonlinear evolution equations in mathematical physics.
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Liu, Chunyan. "The traveling wave solution and dynamics analysis of the fractional order generalized Pochhammer–Chree equation." AIMS Mathematics 9, no. 12 (2024): 33956–72. https://doi.org/10.3934/math.20241619.

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<p>This article studies the phase portraits, chaotic patterns, and traveling wave solutions of the fractional order generalized Pochhammer–Chree equation. First, the fractional order generalized Pochhammer–Chree equation is transformed into an ordinary differential equation. Second, the dynamic behavior is analyzed using the planar dynamical system, and some three-dimensional and two-dimensional phase portraits are drawn using Maple software to reflect its chaotic behaviors. Finally, many solutions were constructed using the polynomial complete discriminant system method, including ratio
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Li, Jibin, and Lijun Zhang. "Bifurcations of traveling wave solutions in generalized Pochhammer–Chree equation." Chaos, Solitons & Fractals 14, no. 4 (2002): 581–93. http://dx.doi.org/10.1016/s0960-0779(01)00248-x.

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Li, Biao, Yong Chen, and Hongqing Zhang. "Travelling Wave Solutions for Generalized Pochhammer-Chree Equations." Zeitschrift für Naturforschung A 57, no. 11 (2002): 874–82. http://dx.doi.org/10.1515/zna-2002-1106.

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In this paper, by means of a proper transformation and symbolic computation, we study the travelling wave reduction for the generalized Pochhammer-Chree (PC) equations (1.3) and (1.4) by use of the recently proposed extended-tanh method. As a result, rich travelling wave solutions, which include kink-shaped solitons, bell-shaped solitons, periodic solutions, rational solutions, singular solitons, are obtained. At the same time, using a direct assumption method, the more general bell-shaped solitons for the generalized PC Eq. (1.3) are obtained. The properties of the solutions are show in figur
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Weiguo, Zhang, and Ma Wenxiu. "Explicit solitary-wave solutions to generalized Pochhammer-Chree equations." Applied Mathematics and Mechanics 20, no. 6 (1999): 666–74. http://dx.doi.org/10.1007/bf02464941.

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LI, JIBIN, and GUANRONG CHEN. "EXACT TRAVELING WAVE SOLUTIONS AND THEIR BIFURCATIONS FOR THE GENERALIZED POCHHAMMER–CHREE EQUATIONS." International Journal of Bifurcation and Chaos 22, no. 09 (2012): 1250233. http://dx.doi.org/10.1142/s0218127412502331.

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By using the method of dynamical systems to study the generalized Pochhammer–Chree equations, the dynamics of traveling wave solutions are characterized under different parameter conditions. Some exact parametric representations of the traveling wave solutions are obtained. Thus, many results reported in the literature can be completed.
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El-Ganaini, Shoukry Ibrahim Atia. "Travelling Wave Solutions to the Generalized Pochhammer-Chree (PC) Equations Using the First Integral Method." Mathematical Problems in Engineering 2011 (2011): 1–13. http://dx.doi.org/10.1155/2011/629760.

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By using the first integral method, the traveling wave solutions for the generalized Pochhammer-Chree (PC) equations are constructed. The obtained results include complex exponential function solutions, complex traveling solitary wave solutions, complex periodic wave solutions, and complex rational function solutions. The power of this manageable method is confirmed.
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Yépez-Martínez, Huitzilin, Mir Sajjad Hashemi, Ali Saleh Alshomrani, and Mustafa Inc. "Analytical solutions for nonlinear systems using Nucci's reduction approach and generalized projective Riccati equations." AIMS Mathematics 8, no. 7 (2023): 16655–90. http://dx.doi.org/10.3934/math.2023852.

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<abstract><p>In this study, the Nucci's reduction approach and the method of generalized projective Riccati equations (GPREs) were utilized to derive novel analytical solutions for the (1+1)-dimensional classical Boussinesq equations, the generalized reaction Duffing model, and the nonlinear Pochhammer-Chree equation. The nonlinear systems mentioned earlier have been solved using analytical methods, which impose certain limitations on the interaction parameters and the coefficients of the guess solutions. However, in the case of the double sub-equation guess solution, analytic solu
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EL Achab, Abdelfattah. "On the integrability of the generalized Pochhammer–Chree (PC) equations." Physica A: Statistical Mechanics and its Applications 545 (May 2020): 123576. http://dx.doi.org/10.1016/j.physa.2019.123576.

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Jaradat, Imad, Marwan Alquran, Sania Qureshi, Tukur A. Sulaiman, and Abdullahi Yusuf. "Convex-rogue, half-kink, cusp-soliton and other bidirectional wave-solutions to the generalized Pochhammer-Chree equation." Physica Scripta 97, no. 5 (2022): 055203. http://dx.doi.org/10.1088/1402-4896/ac5f25.

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Abstract The generalized Pochhammer-Chree equation is considered and studied for different orders of its nonlinearity terms The Kudryashov-expansion method is used and bidirectional kink, singular-kink, rogue-periodic, and V-shaped wave-solutions are obtained. Moreover, we modify the sine-cosine function method to accommodate the current model and obtain symmetric half-kink, convex-rogue, and cusp bidirectional waves. On the other side, a graphical analysis is conducted to identify the physical shapes of the obtained solutions to the proposed model. Finally, the polynomial function method is i
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Conference papers on the topic "Generalized Pochhammer- Chree equation"

1

Bifano, Michael F., Pankaj B. Kaul, Vikas Prakash, and Ajit Roy. "Application of Elastic Dispersion Relations to Estimate Thermal Properties of Nano-Scale Rods and Tubes of Varying Wall Thickness and Diameter." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-13302.

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This paper reports the dependency of specific heat and ballistic thermal conductance on geometry and size in freestanding isotropic non-metallic crystalline nanowires and nanotubes having varying wall thicknesses and outer diameters. The analysis is performed using real dispersion relations found by numerically solving the Pochhammer-Chree frequency equation of a tube. The frequency equation is derived from the 3D cylindrical elastic wave model with stress free boundary conditions on both the inner and outer wall surfaces. Dimensional dependencies are distinctly noticeable and vary with specim
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