Dynamical analysis and explicit traveling wave solutions to the higher-dimensional generalized nonlinear wave system

DOI10.1016/j.cam.2024.115825zbMATH Open1541.3406MaRDI QIDQ6556756

Adilai Yusupu, Han-Ze Liu

Publication date: 17 June 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

bifurcationtraveling wave solutionspecial functiondynamical system method

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear waves in solid mechanics (74J30) Applications of global analysis to the sciences (58Z05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

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• A study on an integrable system of coupled KdV equations
• Integrability of a coupled KdV system: Painlevé property, Lax pair and Bäcklund transformation
• Lie symmetry analysis and exact solutions for the extended mKdV equation
• 1-soliton solution of the coupled KdV equation and Gear-Grimshaw model
• Exact loop solutions, cusp solutions, solitary wave solutions and periodic wave solutions for the special CH-DP equation
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Coupled KdV equations with multi-Hamiltonian structures
• Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations
• Bifurcation Theory and Methods of Dynamical Systems
• Bifurcations of traveling wave solutions for an integrable equation
• New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations

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