聚焦 Kundu-Eckhaus 方程中畸形波的奇异动力学行为研究

Abstract

Abstract:

In this work, based on Darboux transformation general higher-order freak wave solutions of the focusing Kundu-Eckhaus equation are derived by using the variable separation method. Then the dynamics of these freak wave solutions are discussed with some graphics. In particular, we observe that one four-petaled freak wave and three eye-shaped ones can coexist, in contrast to the four eye-shaped ones reported before. They demonstrate that the structure of freak waves in this paper is richer than that in the well-known nonlinear Schrödinger equation.

Key words: The focusing Kundu-Eckhaus equation, The variable separation method, Freak waves

CLC Number:

O175.2

Wang Xiubin, Tian Shoufu. Exotic Dynamics of Freak Waves in the Focusing Kundu-Eckhaus Equation[J].Acta mathematica scientia,Series A, 2023, 43(3): 785-794.

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Exotic Dynamics of Freak Waves in the Focusing Kundu-Eckhaus Equation

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