Perturbation of chiral solitons

DOI10.1016/j.nuclphysb.2008.05.023zbMath1192.35142OpenAlexW2022244353MaRDI QIDQ985756

Anjan Biswas

Publication date: 6 August 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nuclphysb.2008.05.023

zbMATH Keywords

soliton perturbation theorychiral nonlinear Schrödinger's equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Soliton equations (35Q51) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (13)

Conservative finite difference schemes for the chiral nonlinear Schrödinger equation ⋮ Optical dark and dark-singular soliton solutions of (1+2)-dimensional chiral nonlinear Schrodinger’s equation ⋮ Dynamics of optical solitons in the (2 + 1)-dimensional chiral nonlinear Schrödinger equation ⋮ On the investigation of chiral solitons via modified new Kudryashov method ⋮ Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity ⋮ Lie symmetry analysis, conservation laws and analytical solutions for chiral nonlinear Schrödinger equation in (2 + 1)-dimensions ⋮ Variational theory and new abundant solutions to the (1+2)-dimensional chiral nonlinear Schrödinger equation in optics ⋮ Chiral soliton solutions of perturbed chiral nonlinear Schrödinger equation with its applications in mathematical physics ⋮ New exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity via modified trigonometric function series method ⋮ Dynamics of relativistic solitons due to pseudo Sine-Gordon equation ⋮ Chiral solitons with time-dependent coefficients ⋮ Chiral solitons in \(1+2\) dimensions ⋮ New exact traveling wave solutions to the (2+1)-dimensional Chiral nonlinear Schrödinger equation

Cites Work

• Chiral solitons from dimensional reduction of Chern-Simons gauged nonlinear Schrödinger equation: classical and quantum aspects
• Shock waves, chiral solitons and semiclassical limit of one-dimensional anyons
• Chiral nonlinear Schrödinger equation
• Chiral solitons in generalized Korteweg-de Vries equations
• Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
• A Nonrelativistic Chiral Soliton in One Dimension

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