Residual symmetry, interaction solutions, and conservation laws of the (2+1)-dimensional dispersive long-wave system

• 来源期刊: 中国物理B（英文版）
• 关键词: residual symmetry truncated Painlevé expansion interaction solutions conservation law
• 年，卷（期）: 2017,（3）
• 页码范围: 207-214
• 页数: 8页
• 语种: 英文
• DOI: 10.1088/1674-1056/26/3/030202

摘要

We explore the (2+l)-dimensional dispersive long-wave (DLW) system.From the standard truncated Painlevé expansion,the Bicklund transformation (BT) and residual symmetries of this system are derived.The introduction to an appropriate auxiliary dependent variable successfully localizes the residual symmetries to Lie point symmetries.In particular,it is verified that the (2+l)-dimensional DLW system is consistent Riccati expansion (CRE) solvable.If the special form of (CRE)-consistent tanh-function expansion (CTE) is taken,the soliton-cnoidal wave solutions and corresponding images can be explicitly given.Furthermore,the conservation laws of the DLW system are investigated with symmetries and Ibragimov theorem.