| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1707750 | Applied Mathematics Letters | 2015 | 6 Pages |
Abstract
A generalized variable-coefficient KdV equation with perturbed and external-force terms is investigated in this Letter. Lax pair, Riccati-type auto-Bäcklund transformation and Wahlquist–Estabrook-type auto-Bäcklund transformation (WE–BT) are constructed. Based on the WE–BT, the nonlinear superposition formula is obtained and an infinite number of conservation laws are derived recursively, then the analytic solutions are provided including periodic, one-soliton-like and two-soliton-like solutions with inhomogeneous coefficients, external-force term and eigenvalue.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Yuping Zhang, Jing Liu, Guangmei Wei,