Exact solutions of the 3-wave resonant interaction equation
作者： Antonio Degasperis , Sara Lombardo
DOI: 10.1016/J.PHYSD.2006.01.003
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摘要: The Darboux–Dressing Transformations are applied to the Lax pair associated system of nonlinear equations describing resonant interaction three waves in 1+1 dimensions. We display explicit solutions featuring localized whose profile vanishes at spacial boundary |x|=∞, and which not pure soliton solutions. These depend on an arbitrary function allow us deal with collisions various profiles.
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