Solitons in plasmas: A Lie symmetry approach

DOI10.1007/S10773-009-0107-XzbMath1186.81055OpenAlexW2058595060MaRDI QIDQ849099

Anjan Biswas, Chaudry Masood Khalique

Publication date: 24 February 2010

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-009-0107-x

zbMATH Keywords

integrabilitysolitonsLie symmetry

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Perturbation theories for operators and differential equations in quantum theory (81Q15) Statistical mechanics of plasmas (82D10)

Related Items (4)

Similarity reductions and exact solutions of generalized Bretherton equation with time-dependent coefficients ⋮ Optical solitons of a cubic-quartic nonlinear Schrödinger equation with parabolic law nonlinearity in optical metamaterials ⋮ Integrable couplings of the generalized Vakhnenko equation: multiple soliton solutions ⋮ Topological 1-soliton solution of the Biswas-Milovic equation with power law nonlinearity

Cites Work

• Quasi-stationary solitons for Langmuir waves in plasmas
• Exact solutions for the fourth order nonlinear Schrödinger equations with cubic and power law nonlinearities
• Pulse solutions of the modified cubic complex Ginzburg–Landau equation

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