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math.AP2023
Lump type solutions: Backlund transformation and spectral properties
Yong Liu, Jun-cheng Wei, Wen Yang
There are various different ways to obtain traveling waves of lump type for the KP equation. We propose a general and simple approach to derive them via a Backlund transformation.…
math.AP2023
Uniqueness of lump solutions of KP-I equation
Yong Liu, Jun-cheng Wei, Wen Yang
The KP-I equation has family of solutions which decay to zero at space infinity. One of these solutions is the classical lump solution. This is a traveling wave, and the KP-I equat…