Results 11 to 20 of about 24,526 (218)
Some Further Results on Traveling Wave Solutions for the ZK-BBM() Equations
Journal of Applied Mathematics, 2013 We investigate the traveling wave solutions for the ZK-BBM() equations by using bifurcation method of dynamical systems. Firstly, for ZK-BBM(2, 2) equation, we obtain peakon wave, periodic peakon wave, and smooth periodic wave solutions and point out ...
Shaoyong Li, Zhengrong Liu
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Complexity, 2020 In this paper, we study the exact solitary wave solutions and periodic wave solutions of the S-S equation and give the relationships between solutions and the Hamilton energy of their amplitudes.
Weiguo Zhang +3 more
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Results in Physics, 2022 In this paper, the modified extended mapping method is applied to obtain solitary wave solutions and other solutions for the Gilson–Pickering equation which describes the wave propagation in plasma physics.
Islam Samir +4 more
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Instability of Double-Periodic Waves in the Nonlinear Schrödinger Equation
Frontiers in Physics, 2021 It is shown how to compute the instability rates for the double-periodic solutions to the cubic NLS (nonlinear Schrödinger) equation by using the Lax linear equations.
Dmitry E. Pelinovsky
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Exact Solutions of Travelling Wave Model via Dynamical System Method
Abstract and Applied Analysis, 2016 By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schrödinger-Boussinesq equations are studied. Based on this method, the bounded exact travelling wave solutions are obtained which contain solitary wave
Heng Wang, Longwei Chen, Hongjiang Liu
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Multi lump and interaction solutions for Atangana conformable Boussinesq-like equation
Results in Physics, 2022 Atangana conformable Boussinesq-like equations (NLACBEs) plays an important role in shape-memory alloys, nonlinear string and coupled electrical circuits.
S.T.R. Rizvi +3 more
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The Traveling Wave Solutions and Their Bifurcations for the BBM-Like B(m,n) Equations
Journal of Applied Mathematics, 2013 We investigate the traveling wave solutions and their bifurcations for the BBM-like B(m,n) equations ut+αux+β(um)x−γ(un)xxt=0 by using bifurcation method and numerical simulation approach of dynamical systems.
Shaoyong Li, Zhengrong Liu
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Heliyon, 2020 A bilinear form of the (2+1)-dimensional nonlinear Calogero–Bogoyavlenskii–Schiff (CBS) model is derived using a transformation of dependent variable, which contain a controlling parameter.
Harun-Or- Roshid +2 more
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Journal of Applied Mathematics, 2012 An integrable 2-component Camassa-Holm (2-CH) shallow water system is studied by using integral bifurcation method together with a translation-dilation transformation.
Weiguo Rui, Yao Long
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Elastic and nonelastic interactional solutions for the (2 + 1)-dimensional Ito equation
Arab Journal of Basic and Applied Sciences, 2019 In this paper, based on the bilinear form and two new test functions, for the (2 + 1)-dimensional Ito equation, we obtain non-elastic interactional solutions composed of three different types of waves including the solitary wave, the periodic wave and ...
Ai-Juan Zhou, Lan Lan
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