In this paper, He's variational iteration method is applied to obtain exact solutions of some nonlinear diffusion equations. The variational iteration method is used to construct correction functionals using general Lagrange multipliers identified optimally via the variational theory, and the initia
Exact special solutions to the nonlinear dispersive and equations by He’s variational iteration method
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- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 614 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0362-546X
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✦ Synopsis
We implemented a variational method for approximating the solution to the nonlinear dispersive K (m, p, 1)-type equations. By using this scheme, the explicit exact solution is calculated in the form of a quickly convergent series with easily computable components. To illustrate the application of this method, numerical results are derived by using the calculated components of the variational series. The obtained results are found to be in good agreement with the exact solution.
📜 SIMILAR VOLUMES
In this paper, the variational iteration method (VIM) is reintroduced with Laplace transforms and the Padé technique treatment to obtain closed form solutions of nonlinear equations. Some examples, including the coupled Burger's equation, compacton k(n, n) equation, Zakharov-Kuznetsov Zk(n, n) equat