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.
| Original language | English |
|---|---|
| Pages (from-to) | 58-63 |
| Number of pages | 6 |
| Journal | Applied Mathematics Letters |
| Volume | 45 |
| DOIs | |
| State | Published - Jul 2015 |
Keywords
- Auto-Bäcklund transformation
- Conservation law
- Generalized variable-coefficient
- KdV equation
- Lax pair
- Symbolic computation
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