Exact periodic wave solutions for some nonlinear partial differential equations

DOI10.1016/j.chaos.2005.08.063zbMath1142.35566OpenAlexW1995302143MaRDI QIDQ943228

A. Elgarayhi, S. A. El-Wakil, Atalla M. Elhanbaly

Publication date: 9 September 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.08.063

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (6)

New periodic wave solutions to nonlinear evolution equations by the extended mapping method ⋮ On the solutions and conservation laws of a two-dimensional Korteweg de Vries model: multiple \(\exp\)-function method ⋮ Alternate way of soliton solutions in hydrogen-bonded chain ⋮ A predictor-corrector scheme for the improved Boussinesq equation ⋮ Periodic solution of Jacobi elliptic equations by He's perturbation method ⋮ New generalized Jacobi elliptic function expansion method

Cites Work

• A series of new exact solutions for a complex coupled KdV system
• Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method
• The periodic wave solutions and solitary wave solutions for a class of nonlinear partial differential equations
• The periodic solutions for a class of coupled nonlinear Klein-Gordon equations
• Exact Periodic Wave Solutions to a New Hamiltonian Amplitude Equation
• Modified extended tanh-function method for solving nonlinear partial differential equations
• Soliton solutions for the new complex version of a coupled KdV equation and a coupled MKdV equation

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