State transition dynamics of double-hump bright soliton in the coupled derivative Schrödinger equation
摘要
We study double-hump bright solitons in a two-component coupled derivative nonlinear Schrödi-nger equation relevant to plasma physics. Using the Darboux transformation, we derive exact solutions and classify their intensity profiles. Notably, collisions between double-hump and single-hump bright solitons convert the former into breather-like states. Asymptotic analysis reveals that this transition results from energy mixing between the two components of the double-hump bright soliton, with the oscillation period governed by its width parameters. We further analyze multiple collisions involving double-hump and single-hump solitons in two distinct velocity configurations. These collisions lead to interactions either between two breather-like states or between a breather-like state and an single-hump soliton, that have not been reported previously. A systematic asymptotic analysis of multi-soliton collisions is provided using Laplace’s theorem and the Vandermonde determinant, allowing explicit derivation of pre- and post-collision soliton states and precise characterization of their initial and final conditions. These rich collision dynamics suggest promising avenues for controlled excitation in plasma physics and ultrashort pulse manipulation.