Negaton and complexiton solutions of sine-Gordon equation

作者：Wu Hongxia^*; Fan Tianyou

来源：Physica A: Statistical Mechanics and Its Applications , 2007, 379(2): 471-482.

DOI：10.1016/j.physa.2007.01.016

• negaton
• complexiton
• positon
• Darboux transformation
• sine-Gordon equation

The negaton and complexiton solutions are introduced for the sine-Gordon equation by means of the Darboux transformation (DT). The mutual interactions of multinegaton and interactions of negaton-soliton and negaton-positon are discussed in detail. The superposition formulae for negations and complexiton are constructed. Noticing the relation of the sine-Gordon equation and the sinh-Gordon equation, we also obtain the real-valued singular negaton and complexiton solution for the sinh-Gordon equation.

• 出版日期2007-6-15
• 单位北京理工大学