Paper
New Exact Solutions for the VGKdV-mKdV Equation with Nonlinear Terms of Any Order
- Authors:
- Dianchen Lu; Baojian Hong
- Abstract
- In this paper, some new exact solutions for the vari able-coefficient generalized KdV-mKdV equation (VGKdV-mKdV) with nonlinear terms of any order are obtained by using the generalized Jacobi elliptic functions expansion method with computerized symbolic computation, some of these solutions are degenerated to soliton-like solutions and trigonometric function solutions in the limit cases, which shows that the applied method is more powerful and will be used in further works to establish more entirely new exact solutions for other kinds of nonlinear partial differential equations with nonlinear terms of any order arising in mathematical physics.
- Keywords
- Generalized Jacobi Elliptic Functions Expansion Method; Generalized Kdv–Mkdv Equation; Exact Solutions; Soliton-Like Solutions; Jacobi Elliptic Wave-Like Solutions
- StartPage
- 73
- EndPage
- 78
- Doi