Integrability classification and exact solutions to generalized variable-coefficient nonlinear evolution equation

• 来源期刊: 中国物理B（英文版）
• 关键词: Painlev é test integrability classification Lax pair truncated expansion exact solution
• 年，卷（期）: 2018,（4）
• 页码范围: 138-143
• 页数: 6页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/4/040202

摘要

This paper is concerned with the generalized variable-coefficient nonlinear evolution equation (vc-NLEE). The com-plete integrability classification is presented, and the integrable conditions for the generalized variable-coefficient equations are obtained by the Painlevé analysis. Then, the exact explicit solutions to these vc-NLEEs are investigated by the truncated expansion method, and the Lax pairs (LP) of the vc-NLEEs are constructed in terms of the integrable conditions.