Generating mechanism and dynamic of the smooth positons for the derivative nonlinear Schrödinger equation

DOI10.1007/s11071-019-05111-5zbMath1430.35212arXiv1904.09277OpenAlexW3102325756MaRDI QIDQ2296996

Maohua Li, Shuwei Xu, Wenjuan Song, Jing-Song He

Publication date: 18 February 2020

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.09277

zbMATH Keywords

decompositionphase shifttrajectorydegenerate Darboux transformation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (9)

Soliton molecules and novel smooth positons for the complex modified KdV equation ⋮ Dynamics of the smooth positons of the coupled nonlinear Schrödinger equations ⋮ Higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity ⋮ Multisoliton solutions with even numbers and its generated solutions for nonlocal Fokas–Lenells equation ⋮ The dynamics of the smooth positon and b-positon solutions for the NLS-MB equations ⋮ Rogue wave and multi-pole solutions for the focusing Kundu-Eckhaus equation with nonzero background via Riemann-Hilbert problem method ⋮ Soliton interactions and their dynamics in a higher-order nonlinear self-dual network equation ⋮ Two types of smooth positons for nonlocal Fokas-Lenells equation ⋮ Breather positons and rogue waves for the nonlocal Fokas-Lenells equation

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