On the solitary wave solutions for nonlinear Euler equations

DOI10.1080/00036810410001689274zbMath1061.35072OpenAlexW2000539411MaRDI QIDQ4659560

Khaled A. Gepreel, Hassan A. Zedan, Elsayed M. E. Zayed

Publication date: 21 March 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810410001689274

zbMATH Keywords

homogeneous balance methodhyperbola function methodtanh-function methodsymbolic software\(\text{sec}_q-\text{tanh}_q\) method

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Euler-Poisson-Darboux equations (35Q05) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items (11)

Comparison study for numerical solution and travelling wave solution for Ito coupled system ⋮ Extended proposed algorithm with symbolic computation to construct exact solutions for some nonlinear differential equations ⋮ Exact solutions for some non-linear differential equations using complex hyperbolic function methods ⋮ Applications of an extended \((G'/G)\)-expansion method to find exact solutions of nonlinear PDEs in mathematical physics ⋮ Travelling solitary wave solutions for the nonlinear coupled Korteweg-de Vries system ⋮ \((G'/G)\) expansion method for the Drinfel'd-Sokolov-Wilson equation ⋮ On solitary wave solutions for the two-dimensional nonlinear modified Kortweg-de Vries-Burger equation ⋮ A new hyperbolic auxiliary function method and exact solutions of the mBBM equation ⋮ On the rational solitary wave solutions for the nonlinear Hirota–Satsuma coupled KdV system ⋮ Numerical solutions for Ito coupled system ⋮ The (\(\frac{G'}{G})\)-expansion method and its applications to some nonlinear evolution equations in the mathematical physics

Cites Work

• The sec\(_q\)-tanh\(_q\)-method and its applications
• New transformations and new approach to find exact solutions to nonlinear equations
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• Explicit exact solutions for new general two-dimensional KdV-type and two-dimensional KdV Burgers-type equations with nonlinear terms of any order
• A transformation with symbolic computation and abundant new soliton-like solutions for the (1   2)-dimensional generalized Burgers equation
• Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation
• Exact solutions for nonlinear partial differential equation: a new approach
• New exact solutions for a class of nonlinear coupled differential equations

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