Determination of the rich structural wave dynamic solutions to the Caudrey-Dodd-Gibbon equation and the Lax equation

DOI10.1007/S11005-021-01443-9zbMath1471.35083OpenAlexW3191751580MaRDI QIDQ2046846

Md. Dulal Hossain, M. Ali Akbar, Md. Khorshed Alam, Khaled A. Gepreel

Publication date: 19 August 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-021-01443-9

zbMATH Keywords

nonlinear evolution equationsCaudrey-Dodd-Gibbon (CDG) equationnew generalized \(G'/G\)-expansion method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Free boundary problems for PDEs (35R35) Nonlinear evolution equations (47J35) Soliton solutions (35C08)

Cites Work

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• The \((G'/G)\)-expansion method for abundant traveling wave solutions of Caudrey-Dodd-Gibbon equation
• Soliton solutions for the fifth-order KdV equation with the homotopy analysis method
• Abundant solitons solutions for several forms of the fifth-order KdV equation by using the tanh method
• The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations
• An extended simplest equation method and its application to several forms of the fifth-order KdV equation
• Multiple-soliton solutions and multiple-singular soliton solutions for two higher-dimensional shallow water wave equations
• Solitons and periodic solutions for the fifth-order KdV equation
• New exact solution of coupled general equal width wave equation using sine-cosine function method
• Topological soliton and other exact solutions to KdV--Caudrey--Dodd--Gibbon equation
• The Bäcklund transformations, exact solutions, and conservation laws for the compound modified Korteweg-de Vries-Sine-Gordon equations which describe pseudospherical surfaces
• The generalized tanh-coth method to special types of the fifth-order KdV equation
• Solving the fifth order Caudrey-Dodd-Gibbon (CDG) equation using the exp-function method
• Special forms of the fifth-order KdV equation with new periodic and soliton solutions
• Multiple-soliton solutions for the fifth order Caudrey-Dodd-Gibbon (CDG) equation
• Analytic study of the fifth order integrable nonlinear evolution equations by using the tanh method
• \(N\)-soliton solutions for the combined KdV-CDG equation and the KdV-Lax equation
• Multiple soliton solutions for (2 + 1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations
• Solitary wave solutions of nonlinear wave equations
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Scattering and inverse scattering for first order systems
• The Painlevé property for partial differential equations
• On classes of integrable systems and the Painlevé property
• A new hierarchy of Korteweg–de Vries equations
• The prolongation structure of a higher order Korteweg-de Vries equation
• The improved F-expansion method and its application to the MEE circular rod equation and the ZKBBM equation
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
• Bright soliton solutions to a nonlocal nonlinear Schrödinger equation of reverse-time type

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