LETTER TO THE EDITOR: Solitary wave solutions of the short pulse equation

By Anton Sakovich, Sergei Sakovich. 2006

180 citations recorded by the source corpus.

An exact nonsingular solitary wave solution of the Schafer–Wayne short pulse equation is derived from the breather solution of the sine-Gordon equation by means of a transformation between these two integrable equations.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e26d7498d7a0211ca70136770cda7009c560a7ed

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In Atomic and Molecular Physics, and Optics

1. Liming Ling
2. Zuo-nong Zhu
3. B. Feng
4. Nail H. Ibragimov

In Statistical and Nonlinear Physics

1. Zuo-nong Zhu
2. Liming Ling
3. B. Feng
4. Nail H. Ibragimov
5. S. Lukashchuk

Citations in the corpus

• Complex short pulse and coupled complex short pulse equations (2013, background): “ion associated with pseudospherical surfaces [11]. The SP equation has been shown to be completely integrable [11, 12, 13, 14, 15]. The periodic and soliton solutions of the SP equation were found in [16, 17, 18]. The connection between the SP equation and the sine-Gordon equation through the hodogr”
• Nonlinear self-adjointness in constructing conservation laws (2011, background): “1) by a non-point transformation which is constructed in [32] as a chain of differential substitutions (given also in [31] by Eqs.”
• Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation (2015, methodology): “The connection between the SP equation (1) and the sine-Gordon equation through the reciprocal transformation was firstly discovered in [19], then was further clarified and used to find two-loop and breather solutions in [22] by the same authors.”