Sine-Gordon Solitons and Breathers in Rod-like Magnetic Liquid Crystals under External Magnetic Field

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2018,（12）
• 页码范围: 759-764
• 页数: 6页
• 语种: 英文
• DOI: 10.1088/0253-6102/70/6/759

摘要

To study the nonlinear phenomena in rod-like magnetic liquid crystals (RMLCs),this paper establishes the dynamic model of molecular motion when giving a twisting disturbance to the molecules under external magnetic field.We find the twist of the molecules under magnetic field can be propagated in the form of a traveling wave.The dynamic equation of the molecular twisting we derived satisfies the form of Sine-Gordon equation.We obtain two solutions of the Sine-Gordon equation by theoretical calculation:the kink and anti-kink solitons and breathers.The characteristics of those solitons and breathers are discussed.