Envelope solution profiles of the discrete nonlinear Schrödinger equation with a saturable nonlinearity

DOI10.1016/j.aml.2008.06.015zbMath1170.35540OpenAlexW2022602434MaRDI QIDQ1021860

Zhenya Yan

Publication date: 9 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.06.015

zbMATH Keywords

Jacobi elliptic functiondark soliton solutiondiscrete nonlinear Schrödinger equation with a saturable nonlinearityenvelope solution

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Analyticity in context of PDEs (35A20) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Discrete version of topics in analysis (39A12)

Related Items (4)

Comparative study of rogue wave solutions for autonomous and non-autonomous saturable discrete nonlinear Schrödinger equation ⋮ Discrete solitons in zigzag waveguide arrays with different types of linear mixing between nearest-neighbor and next-nearest-neighbor couplings ⋮ Homoclinic solutions in periodic difference equations with saturable nonlinearity ⋮ On the existence of homoclinic solutions of a class of discrete nonlinear periodic systems

Cites Work

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• The extended Jacobian elliptic function expansion method and its application in the generalized Hirota-Satsuma coupled KdV system.
• Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm
• Nonlinear differential−difference equations
• On the Solution of a Class of Nonlinear Partial Difference Equations

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