Exact and numerical soliton solutions of some nonlinear physical models
From MaRDI portal
Publication:1826805
DOI10.1016/S0096-3003(03)00576-9zbMath1288.76061OpenAlexW2016963406MaRDI QIDQ1826805
Publication date: 6 August 2004
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00576-9
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solutions to PDEs in closed form (35C05)
Related Items
Adomian decomposition method for solving fractional nonlinear differential equations ⋮ New technique to avoid ``noise terms on the solutions of inhomogeneous differential equations by using Adomian decomposition method
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A review of the decomposition method in applied mathematics
- Noise terms in decomposition solution series
- A reliable modification of Adomian decomposition method
- 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
- Necessary conditions for the appearance of noise terms in decomposition solution series
- An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
- Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
- 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
- Exact soliton solutions of some nonlinear physical models
- Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method
- 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
- Explicit solutions of generalized nonlinear Boussinesq equations
