Abstract
The homogeneous balance of undetermined coefficients method is proposed to obtain not only exact solutions but also multi-symplectic structure of some nonlinear partial differential equations. Bilinear equation, N-soliton solutions, traveling wave solutions and multi-symplectic structure are obtained by applying the proposed method to the KdV equation. Accordingly, the definition and multi-symplectic structure of the generalized KdV-type equation are given. The proposed method is also a standard and computable method, which can be generalized to deal with some types of nonlinear partial differential equations.
| Original language | English |
|---|---|
| Article number | 271 |
| Journal | Advances in Difference Equations |
| Volume | 2015 |
| Issue number | 1 |
| DOIs | |
| State | Published - 8 Dec 2015 |
Keywords
- bilinear equation
- generalized KdV-type equation
- homogeneous balance of undetermined coefficients method
- multi-symplectic structure
- N-soliton solution
- traveling wave solution