Solitary-wave solutions for compound KdV-type and compound KdV--Burgers-type equations with nonlinear terms of any order
From MaRDI portal
Publication:2577783
DOI10.1016/S0096-3003(03)00589-7zbMath1077.35110OpenAlexW2091874870MaRDI QIDQ2577783
Publication date: 9 January 2006
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00589-7
MathematicaSolitary-wave solutionCompound KdV-Burgers-type equationCompound KdV-type equationThe decomposition method
Related Items (max. 100)
Soliton perturbation theory for the compound KdV equation ⋮ On the numerical solution of Korteweg-de Vries equation by the iterative splitting method ⋮ SADDLE-NODE BIFURCATION AND ITS CONTROL OF BURGERS–KdV EQUATION ⋮ A reliable technique for solving third‐order dispersion equations ⋮ Generalized finite spectral method for 1D Burgers and KdV equations ⋮ An application for a modified KdV equation by the decomposition method and finite element method ⋮ Comparison of the solutions obtained by B-spline FEM and ADM of KdV equation
Uses Software
Cites Work
- Unnamed Item
- A review of the decomposition method in applied mathematics
- A reliable modification of Adomian decomposition method
- Oscillatory instability of traveling waves for a KdV-Burgers equation
- Solving frontier problems of physics: the decomposition method
- Decomposition methods: A new proof of convergence
- Convergence of Adomian's method applied to differential equations
- An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
- Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation.
- Two new applications of the homogeneous balance method
- An application for a generalized KdV equation by the decomposition method
- Auto-Bäcklund transformation and exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order
- An application of the decomposition method for the KdVB equation
- New ideas for proving convergence of decomposition methods
- Adomian's polynomials for nonlinear operators
- New exact solutions to a solutions to a system of coupled KdV equations
- Exact solutions of nonlinear equations
- Exact solutions for a compound KdV-Burgers equation
- Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
- A numerical application of the decomposition method for the combined KdV-MKdV equation
- Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method
- A new formulation of Adomian method
- On Series Expansions Giving Closed-Form Solutions of Korteweg–de Vries-Like Equations
- Convergence of Adomian's Method
- An application of the decomposition method for second order wave equations
- On the solution of a korteweg-de vries like equation by the decomposition method
- Singular solution in a damped double sinh-Gordon system
- New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water
- Explicit solutions of generalized nonlinear Boussinesq equations
- A study of nonlinear dispersive equations with solitary-wave solutions having compact support
- A new Bäcklund transformation and multi-soliton solutions to the KdV equation with general variable coefficients
- Explicit exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order
- The homogeneous balance method, Lax pair, Hirota transformation and a general fifth-order KdV equation
- Auto-Bäcklund transformation and similarity reductions for general variable coefficient KdV equations
- An explicit solution of coupled viscous Burgers' equation by the decomposition method
This page was built for publication: Solitary-wave solutions for compound KdV-type and compound KdV--Burgers-type equations with nonlinear terms of any order
