The variational iteration method combined with improved generalized tanh-coth method applied to Sawada-Kotera equation

DOI10.1016/j.amc.2009.05.046zbMath1203.65196OpenAlexW2036927594MaRDI QIDQ609276

Alvaro H. Salas, Cesar A. Gómez

Publication date: 30 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.05.046

zbMATH Keywords

traveling wave solutionsfifth-order KdV equationSawada-Kotera equationvariational iteration methodimproved tanh-coth methodperiodic and soliton solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (16)

Solitons for a \((2+1)\)-dimensional Sawada-Kotera equation via the Wronskian technique ⋮ Exact solutions for a nonlinear model ⋮ Solving nonlinear partial differential equations by the sn-ns method ⋮ Inner resonance of a coupled hyperbolic tangent nonlinear oscillator arising in a packaging system ⋮ EXACT SOLITARY WAVE AND PERIODIC WAVE SOLUTIONS OF THE KAUP-KUPERSCHMIDT EQUATION ⋮ Computing exact solutions to a generalized Lax-Sawada-Kotera-Itô seventh-order KdV equation ⋮ Exact solutions to KdV6 equation by using a new approach of the projective Riccati equation method ⋮ Exact solutions of the nonlocal Sawada–Kotera equation in the Alice–Bob system ⋮ Pure traveling wave solutions for three nonlinear fractional models ⋮ Exp-function method for the exact solutions of Sawada-Kotera equation ⋮ Construction of \(N\)-soliton solutions to (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equations ⋮ Exact solutions for a third-order KdV equation with variable coefficients and forcing term ⋮ Exact solutions for the generalized BBM equation with variable coefficients ⋮ Exact solutions of coupled sine-Gordon equations ⋮ Computing exact solutions to a generalized Lax seventh-order forced KdV equation (KdV7) ⋮ Higher-order rational soliton solutions for the fifth-order modified KdV and KdV equations

Cites Work

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• The generalized tanh-coth method to special types of the fifth-order KdV equation
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• The Cole-Hopf transformation and improved tanh-coth method applied to new integrable system (KdV6)
• Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs
• Extended tanh-function method and its applications to nonlinear equations
• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• Doubly Periodic Wave Solutions of Jaulent–Miodek Equations Using Variational Iteration Method Combined with Jacobian-function Method
• Variational iteration method for autonomous ordinary differential systems

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