Bright soliton solutions to the nonlocal Manakov equations of reverse-space type

APPLIED MATHEMATICS LETTERS(2024)

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摘要
Utilizing the bilinear method combined with the KP hierarchy reduction technique, bright multi-soliton solutions in terms of determinant to the nonlocal Manakov equations of reverse-space type are derived in the focusing case. Our results show that these solutions only allow an even number of solitons and each paired soliton exhibits the head-on collision with the same velocity. In the dynamic behaviors illustrated, the fundamental paired soliton supports valley and hump at the center of collision, as well as one degenerate soliton with position shifts. The higher-order soliton solutions exhibit the interaction of paired solitons, where the particular bound states include the mixed line-breathing patterns and the single breather with position shifts.
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关键词
Reverse-space nonlocal Manakov equations,Hirota's bilinear method,KP hierarchy reduction,Bright soliton solutions,Paired soliton
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