A new general algebraic method with symbolic computation to construct new travelling wave solution for the \((1+1)\)-dimensional dispersive long wave equation

DOI10.1016/j.amc.2004.10.012zbMath1082.65578OpenAlexW1986555625MaRDI QIDQ2572758

Qi Wang, Yong Chen

Publication date: 4 November 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.10.012

zbMATH Keywords

comparison of methodsnumerical examplessymbolic computationnonlinear evolution equationstravelling wave solutionstanh methodsdispersive long wave equationRiccati equation rational expansion methodsolitary wave solutions periodic wave solutions rational wave solutions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Higher-order nonlinear hyperbolic equations (35L75)

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Uses Software

• MACSYMA

Cites Work

• Nonlinear evolution equations associated with energy-dependent Schrödinger potentials
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• New Exact Travelling Wave Solutions to Hirota Equation and (1+1)-Dimensional Dispersive Long Wave Equation
• Modified extended tanh-function method for solving nonlinear partial differential equations