Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation
From MaRDI portal
Publication:1827022
DOI10.1016/S0096-3003(03)00535-6zbMath1048.65096MaRDI QIDQ1827022
Publication date: 6 August 2004
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
convergencenumerical examplessymbolic computationAdomian decomposition methodKorteweg-de Vries equationtraveling wave solutioncoupled KdV equation
Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (31)
Construction of solutions for the shallow water equations by the decomposition method ⋮ On the numerical solution of the system of two-dimensional Burgers' equations by the decomposition method ⋮ Soliton solution of coupled Korteweg-de Vries equation by quintic UAH tension B-spline differential quadrature method ⋮ Numerical solutions for some coupled nonlinear evolution equations by using spectral collocation method ⋮ Solitary wave solution of nonlinear Benjamin-Bona-Mahony-Burgers equation using a high-order difference scheme ⋮ An effective approximation to the dispersive soliton solutions of the coupled KdV equation via combination of two efficient methods ⋮ On the variational iteration method ⋮ A meshfree interpolation method for the numerical solution of the coupled nonlinear partial differential equations ⋮ Methods for the numerical solution of the Benjamin-Bona-Mahony-Burgers equation ⋮ A numerical solution for Hirota-Satsuma coupled KdV equation ⋮ An efficient numerical method for solving Benjamin–Bona–Mahony–Burgers equation using difference scheme ⋮ Traveling wave solutions using the variational method and the tanh method for nonlinear coupled equations ⋮ Traveling wave solutions of partial differential equations via neural networks ⋮ An analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method ⋮ An analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method ⋮ A decomposition method for finding solitary and periodic solutions for a coupled higher-dimensional Burgers equations ⋮ An improved variational iteration method for solving coupled KdV and Boussinesq-like \(B(m, n)\) equations ⋮ Solving nonlinear fractional partial differential equations using the homotopy analysis method ⋮ Exact solutions for coupled KdV equation and KdV equations ⋮ Numerical solution of complex modified Korteweg-de Vries equation by collocation method ⋮ On experimental results and explicit exact solutions for the generalized Boussinesq type equation ⋮ A mixed algorithm for numerical computation of soliton solutions of the coupled KdV equation: finite difference method and differential quadrature method ⋮ Numerical solution of a coupled Korteweg-de Vries equations by collocation method ⋮ Homotopy perturbation method for a type of nonlinear coupled equations with parameters derivative ⋮ A fully Galerkin method for the damped generalized regularized long‐wave (DGRLW) equation ⋮ A reliable technique to study nonlinear time-fractional coupled Korteweg-de Vries equations ⋮ Exact and numerical traveling wave solutions of Whitham-Broer-Kaup 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 ⋮ A numerical application of the decomposition method for the combined KdV-MKdV equation ⋮ Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations
Uses Software
Cites Work
- A review of the decomposition method in applied mathematics
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Solving frontier problems of physics: the decomposition method
- Decomposition methods: A new proof of convergence
- Global well-posedness of the initial value problem for the Hirota-Satsuma system
- 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.
- The use of Adomian decomposition method for solving a specific nonlinear partial differential equation
- An application for a generalized KdV equation by the decomposition method
- A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations
- Practical formulae for the calculus of multivariable Adomian polynomials
- New exact solutions to a solutions to a system of coupled KdV equations
- Exact soliton solutions of some nonlinear physical models
- A note on the homogeneous balance method
- Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method
- Solitary wave solutions of nonlinear wave 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
- Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation
- A study of nonlinear dispersive equations with solitary-wave solutions having compact support
This page was built for publication: Exact and numerical traveling wave solutions for nonlinear coupled equations using symbolic computation
