Solitary wave, breather wave and rogue wave solutions of an inhomogeneous fifth-order nonlinear Schrödinger equation from Heisenberg ferromagnetism

DOI10.1216/RMJ-2019-49-1-29zbMath1412.35306OpenAlexW2921476432WikidataQ128296302 ScholiaQ128296302MaRDI QIDQ1732084

Tian-Tian Zhang, Lian-Li Feng, Shou-Fu Tian

Publication date: 15 March 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1552186950

zbMATH Keywords

solitary waves Darboux transformation rogue waves fifth-order nonlinear Schrödinger equation breather waves

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Statistical mechanics of magnetic materials (82D40) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (11)

Dynamics of kink solitary waves and lump waves with interaction phenomena in a generalized (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq equation ⋮ On traveling wave solutions of a class of KdV-Burgers-Kuramoto type equations ⋮ An implicit finite difference analysis of magnetic swimmers propelling through non-Newtonian liquid in a complex wavy channel ⋮ Inverse scattering transforms of the inhomogeneous fifth-order nonlinear Schrödinger equation with zero/nonzero boundary conditions ⋮ Lie symmetry analysis, conservation laws and analytical solutions for chiral nonlinear Schrödinger equation in (2 + 1)-dimensions ⋮ Formation of rogue waves on the periodic background in a fifth-order nonlinear Schrödinger equation ⋮ Lax representation and Darboux solutions of the classical Painlevé second equation ⋮ Non-autonomous solitons in inhomogeneous nonlinear media with distributed dispersion ⋮ Dynamics of Lump Solutions, Rogue Wave Solutions and Traveling Wave Solutions for a (3 + 1)-Dimensional VC-BKP Equation ⋮ Riemann-Hilbert problem and dynamics of soliton solutions of the fifth-order nonlinear Schrödinger equation ⋮ THE BREATHER WAVE SOLUTIONS, M-LUMP SOLUTIONS AND SEMI-RATIONAL SOLUTIONS TO A (2+1)-DIMENSIONAL GENERALIZED KORTEWEG-DE VRIES EQUATION

This page was built for publication: Solitary wave, breather wave and rogue wave solutions of an inhomogeneous fifth-order nonlinear Schrödinger equation from Heisenberg ferromagnetism