B(A)CKLUND TRANSFORMATION, LAX PAIRS,SYMMETRIES AND EXACT SOLUTIONS FOR VARIABLE COEFFICIENT KdV EQUATION

• 来源期刊: 物理学报（海外版）（英文版）
• 学科: 物理学
• 关键词: KdV EQUATION VARIABLE COEFFICIENT ordinary differential equation homogeneous balance method variable coefficient general solutions exact solutions KdV equation
• 年，卷（期）: 1998,（9）
• 页码范围: 649-654
• 页数: 6页
• 分类号: O4
• 语种: 英文

摘要

The homogeneous balance method is extended to seek for B(a)cklund transformation, Lax pairs, non-local symmetries of variable coefficient KdV equation (VCKd VE).Then based on the B(a)cklund transformation and general solutions of a fourth-order nonlinear ordinary differential equation, five kinds of exact solutions of VCKdVE are derived. The soliton-like solution also belongs to these solutions.