Found 15 Documents (Results 1–15)
Solitons, breathers and modulation instability for a higher-order coupled nonlinear Schrödinger system for the ultrashort optical pulses in a nonlinear medium. (English) Zbl 1511.35333
D’Alembert wave, the Hirota conditions and soliton molecule of a new generalized KdV equation. (English) Zbl 1492.35274
Vector solitons for the (2 + 1)-dimensional coupled nonlinear Schrödinger system in the Kerr nonlinear optical fiber. (English) Zbl 07813172
Dynamics of a D’Alembert wave and a soliton molecule for an extended BLMP equation. (English) Zbl 1521.35155
Lax pair, Darboux transformation and rogue waves for the three-coupled fourth-order nonlinear Schrödinger system in an alpha helical protein. (English) Zbl 1504.92043
Degenerate soliton, breather and localized solutions for a nonlinear Schrödinger and Maxwell-Bloch system. (English) Zbl 1489.35261
Finite-gap solutions of nonlocal equations in Ablowitz-Kaup-Newell-Segur hierarchy. (Russian. English translation) Zbl 1488.37055
Ufim. Mat. Zh. 13, No. 2, 86-103 (2021); translation in Ufa Math. J. 13, No. 2, 81-98 (2021).
Beak-shaped rogue waves for a higher-order coupled nonlinear Schrödinger system with \(4 \times 4\) Lax pair. (English) Zbl 1481.35113
Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: general analysis and simplest examples. (English. Russian original) Zbl 1453.81017
Theor. Math. Phys. 204, No. 3, 1154-1165 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 383-395 (2020).
Dark-bright semi-rational solitons and breathers for a higher-order coupled nonlinear Schrödinger system in an optical fiber. (English) Zbl 1439.78012
Localized waves and interactions for the high dimensional nonlinear evolution equations. (English) Zbl 1439.35136
Elastic and inelastic collisions of the semirational solutions for the coupled Hirota equations in a birefringent fiber. (English) Zbl 1437.35642
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