Solitons on a Periodic Wave Background of the Modified KdV-Sine-Gordon Equation

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2018,（8）
• 页码范围: 119-126
• 页数: 8页
• 语种: 英文
• DOI: 10.1088/0253-6102/70/2/119

摘要

The B(a)cklund transformation(BT) of the mKdV-sG equation is constructed by introducing a new transformation.Infinitely many nonlocai symmetries are obtained in terms of its BT.The soliton-periodic wave interaction solutions are explicitly derived by the classical Lie-group reduction method.Particularly,some special concrete soliton and periodic wave interaction solutions and their behaviours are discussed both in analytical and graphical ways.