New exact travelling wave solutions to three nonlinear evolution equations

DOI10.1007/S11766-004-0052-7zbMath1062.35119OpenAlexW2023806994MaRDI QIDQ1764388

Sirendaoreji

Publication date: 24 February 2005

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-004-0052-7

zbMATH Keywords

symbolic computationclassical Boussinesq equationMikhailov-Shabat equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items (2)

Construction of periodic and solitary wave solutions for the complex nonlinear evolution equations ⋮ Analytic approximate solutions for time-dependent flow and heat transfer of a Sisko fluid

Uses Software

• ATFM

Cites Work

• Darboux transformations of classical Boussinesq system and its new solutions
• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• Auxiliary equation method for solving nonlinear partial differential equations
• Extended tanh-function method and its applications to nonlinear equations
• Solitary wave solutions of nonlinear wave equations
• Modified singular manifold expansion: application to the Boussinesq and Mikhailov-Shabat systems
• Modified extended tanh-function method for solving nonlinear partial differential equations
• The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations

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