Soliton solutions of weakly bound states for higher-order Ito equation

Li, Wentao; Li, Biao

doi:10.1007/s11071-022-07662-6

Cited by 10 publications

(1 citation statement)

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“…This scenario has been demonstrated in the asymmetric Nizhnik-Novikov-Veselov (ANNV) equation [17]. Although the multi-soliton solution introduced in the preceding section is derived for real-valued wave parameters, it remains applicable even when some of them are complex numbers [19][20][21].…”

Section: Interaction Between a Line Soliton And A Y-periodic Solitonmentioning

confidence: 99%

A novel (2+1)-dimensional Sawada-Kotera type system: multisoliton solution and variable separation solution

Wang,

Yang,

Tang

et al. 2024

Nonlinear Dyn

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A novel (2+1)-dimensional Sawada-Kotera type system is considered. The existence of three-soliton and four-soliton solutions with constraints on wave numbers is confirmed. Other intriguing solutions, such as the long-range interaction between a line soliton and a y-periodic soliton, are also presented based on the Hirota formalism. By extending the multilinear variable separation approach to the fifthorder nonlinear evolution equation, various localized excitations are introduced, including solitoff, dromion, and an instanton excited by three resonant dromions. In addition to these localized excitations, the general fusion or fission type N-solitary wave solution is obtained, and the resonant Y-shaped soliton and the resonant T -type soliton interaction in shallow water are explored graphically.

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Section: Interaction Between a Line Soliton And A Y-periodic Solitonmentioning

confidence: 99%