Exact solutions of some nonlinear partial differential equations using the variational iteration method linked with Laplace transforms and the Padé technique
2007
In this paper, the variational iteration method (VIM) is reintroduced with Laplace transforms and the Pade 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) equation, and KdV and mKdV equations are given to show the effectiveness of the coupled VIM-Laplace-Pade and VIM-Pade techniques.
Keywords:
- First-order partial differential equation
- Laplace's equation
- Method of characteristics
- Mathematical optimization
- Green's function for the three-variable Laplace equation
- Mathematical analysis
- Differential equation
- Laplace transform applied to differential equations
- Mathematics
- Partial differential equation
- Separable partial differential equation
- Hyperbolic partial differential equation
- Elliptic partial differential equation
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
23
References
45
Citations
NaN
KQI