GENERALIZED EXTENDED TANH-FUNCTION METHOD TO CONSTRUCT NEW EXPLICIT EXACT SOLUTIONS FOR THE APPROXIMATE EQUATIONS FOR LONG WATER WAVES
From MaRDI portal
Publication:5699348
DOI10.1142/S0129183103004760zbMath1083.76506MaRDI QIDQ5699348
Publication date: 26 October 2005
Published in: International Journal of Modern Physics C (Search for Journal in Brave)
Symbolic computation and algebraic computation (68W30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25)
Related Items
Simple equation method for nonlinear partial differential equations and its applications ⋮ \textit{PDEBellII}: a Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations ⋮ On the exact solutions of the Thomas equation by algebraic methods ⋮ Improved general mapping deformation method for nonlinear partial differential equations in mathematical physics ⋮ Generalized method and new exact wave solutions for \((2 + 1)\)-dimensional Broer-Kaup-Kupershmidt system ⋮ A new Korteweg-de Vries equation-based sub-equation method and its application to the (2 + 1)-dimensional Korteweg-de Vries equation ⋮ CONSTRUCTING FAMILIES TRAVELING WAVE SOLUTIONS IN TERMS OF SPECIAL FUNCTION FOR THE ASYMMETRIC NIZHNIK–NOVIKOV–VESSELOV EQUATION ⋮ AUTO-BÄCKLUND TRANSFORMATION AND NEW EXACT SOLUTIONS OF THE (2 + 1)-DIMENSIONAL NIZHNIK–NOVIKOV–VESELOV EQUATION ⋮ Extended mapping method and its applications to nonlinear evolution equations ⋮ New exact travelling wave solutions for the shallow long wave approximate equations ⋮ The stochastic soliton-like solutions of stochastic KdV equations ⋮ On two approaches of finding exact solutions to nonlinear evolution equations ⋮ Numerical soliton solutions of fractional Newell-Whitehead-Segel equation in binary fluid mixtures ⋮ CTE method to the interaction solutions of Boussinesq-Burgers equations
Uses Software
Cites Work
- Generalized tanh method with symbolic computation and generalized shallow water wave equation
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Exact solitary wave solutions of coupled nonlinear evolution equations using MACSYMA
- Explicit exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order.
- Travelling solitary wave solutions to a compound KdV-Burgers equation.
- Mathematics of dispersive water waves
- Extended tanh-function method and its applications to nonlinear equations
- Approximate equations for long water waves
- Explicit exact solutions for new general two-dimensional KdV-type and two-dimensional KdV Burgers-type equations with nonlinear terms of any order
- Variational methods and applications to water waves
- Modified extended tanh-function method for solving nonlinear partial differential equations
- Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics
- A new complex line soliton for the two-dimensional KdV-Burgers equation
- New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations