TOPOLOGICAL 1-SOLITON SOLUTION OF THE GENERALIZED RADHAKRISHNAN, KUNDU, LAKSHMANAN EQUATION WITH NONLINEAR DISPERSION

DOI10.1142/S0217984910024109zbMath1195.78045MaRDI QIDQ4929741

Dawn A. Lott, Anjan Biswas, Benjamin J. M. Sturdevant

Publication date: 23 September 2010

Published in: Modern Physics Letters B (Search for Journal in Brave)

zbMATH Keywords

exact solutionintegrabilitydark optical solitons

Mathematics Subject Classification ID

Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Special quantum systems, such as solvable systems (81Q80)

Related Items (7)

Solitary waves of the generalized Radhakrishnan-Kundu-Lakshmanan equation with four powers of nonlinearity ⋮ Impact of fractional derivative and Brownian motion on the solutions of the Radhakrishnan-Kundu-Lakshmanan equation ⋮ The analytical solutions of the stochastic fractional RKL equation via Jacobi elliptic function method ⋮ Optical solitons, nonlinear self-adjointness and conservation laws for Kundu-Eckhaus equation ⋮ The solitary wave solutions to the fractional Radhakrishnan–Kundu–Lakshmanan model ⋮ MODULATION INSTABILITY AND OPTICAL SOLITONS OF RADHAKRISHNAN-KUNDU-LAKSHMANAN MODEL ⋮ Painlevé analysis and a solution to the traveling wave reduction of the Radhakrishnan-Kundu-Lakshmanan equation

Cites Work

• 1-soliton solution of the generalized Radhakrishnan, Kundu, Lakshmanan equation
• Dynamics of topological optical solitons with time-dependent dispersion, nonlinearity and attenuation
• A study on linear and nonlinear Schrödinger equations by the variational iteration method
• Exp-function based solution of nonlinear Radhakrishnan, Kundu and Laskshmanan (RKL) equation
• A second Wronskian formulation of the Boussinesq equation
• Complexiton solutions to the Korteweg-de Vries equation
• Exact solutions for the fourth order nonlinear Schrödinger equations with cubic and power law nonlinearities
• Reliable analysis for nonlinear Schrödinger equations with a cubic nonlinearity and a power law nonlinearity
• K symmetries and tau symmetries of evolution equations and their Lie algebras
• Wronskian solutions of the Boussinesq equation—solitons, negatons, positons and complexitons
• AN APPLICATION OF THE CASORATIAN TECHNIQUE TO THE 2D TODA LATTICE EQUATION
• Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations
• Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions

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