All traveling wave exact solutions of two kinds of nonlinear evolution equations

DOI10.1016/j.amc.2014.02.071zbMath1334.35281OpenAlexW2040483085MaRDI QIDQ272388

Yong Huang, Yong-Hong Wu, Wen-Jun Yuan

Publication date: 20 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.02.071

zbMATH Keywords

exact solutionKorteweg-de Vries equationmeromorphic functionelliptic functionmodified Benjamin-Bona-Mahony equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (1)

Meromorphic solutions of the \((2+1)\)- and the \((3+1)\)-dimensional BLMP equations and the \((2+1)\)-dimensional KMN equation

Uses Software

• BVPh

Cites Work

• Dynamics of solitons in plasmas for the complex KdV equation with power law nonlinearity
• 1-soliton solution of the complex KdV equation in plasmas with power law nonlinearity and time-dependent coefficients
• Some new solitonary solutions of the modified Benjamin-Bona-Mahony equation
• Adiabatic parameter dynamics of perturbed solitary waves
• 1-soliton solution of the Zakharov-Kuznetsov equation with dual-power law nonlinearity
• Soliton perturbation theory for the generalized Benjamin-Bona-Mahoney equation
• 1-soliton solution of Benjamin-Bona-Mahoney equation with dual-power law nonlinearity
• 1-soliton solution of the generalized KdV equation with generalized evolution
• 1-soliton solution of the coupled KdV equation and Gear-Grimshaw model
• Homotopy analysis method: A new analytic method for nonlinear problems.
• Symmetry reduction, exact group-invariant solutions and conservation laws of the Benjamin-Bona-Mahoney equation
• Soliton solutions for a generalized fifth-order KdV equation with t-dependent coefficients
• Homotopy Analysis Method in Nonlinear Differential Equations
• Meromorphic solutions of higher order Briot–Bouquet differential equations
• Elliptic General Analytic Solutions
• The representation of meromorphic solutions to certain ordinary differential equations and its applications
• Meromorphic solutions of nonlinear ordinary differential equations
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