✦ LIBER ✦

Negaton and complexiton solutions of sine-Gordon equation

✍ Scribed by Hongxia Wu; Tianyou Fan

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 205 KB
Volume: 379
Category: Article
ISSN: 0378-4371
DOI: 10.1016/j.physa.2007.01.016

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✦ Synopsis

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 complexitons 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.

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