Analytic solutions to nonlinear differential-difference equations by means of the extended (G′/G)-expansion method

DOI10.1088/1751-8113/43/39/395207zbMath1201.35175OpenAlexW1998778873MaRDI QIDQ3052871

Publication date: 3 November 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11147/2649

zbMATH Keywords

nonlinear Schrödinger equation \((G'/G)\)-expansion method Toda lattice system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Traveling wave solutions (35C07) Soliton solutions (35C08) Polynomial solutions to PDEs (35C11)

Related Items (6)

\(N\)-fold Darboux transformation and soliton solutions for the relativistic Toda lattice equation ⋮ On traveling waves in lattices: the case of Riccati lattices ⋮ Some exact solutions for Toda type lattice differential equations using the improved (G′/G)-expansion method ⋮ Soliton solution of high‐order nonlinear Schrödinger equation based on ansatz method ⋮ Optical solitons and closed form solutions to the (3+1)-dimensional resonant Schrödinger dynamical wave equation ⋮ Exact solutions for fractional DDEs via auxiliary equation method coupled with the fractional complex transform

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