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nlin.SI2006
Solitary wave solutions of the short pulse equation
Anton Sakovich, Sergei Sakovich
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…
nlin.SI2004★ 332 cited
The short pulse equation is integrable
Anton Sakovich, Sergei Sakovich
We prove that the Schafer-Wayne short pulse equation (SPE) which describes the propagation of ultra-short optical pulses in nonlinear media is integrable. First, we discover a Lax…