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Wu, Xi-Hu; Gao, Yi-Tian; Yu, Xin; Ding, Cui-Cui

\(N\)-fold generalized Darboux transformation and soliton interactions for a three-wave resonant interaction system in a weakly nonlinear dispersive medium. (English) Zbl 1508.35114

Chaos Solitons Fractals 165, Part 2, Article ID 112786, 7 p. (2022).

Cited in 19 Documents

MSC:

35Q51 Soliton equations
35C08 Soliton solutions
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems

Keywords:

three-wave resonant interaction system; weakly nonlinear dispersive medium; generalized Darboux transformation; \(Y\)-shaped bright-dark-bright solitons; soliton interactions
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Full Text: DOI

References:

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