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A simple but efficient approach for studying on nonlinear differential-difference equations
- Source :
- Chaos, Solitons & Fractals. 39:130-135
- Publication Year :
- 2009
- Publisher :
- Elsevier BV, 2009.
-
Abstract
- In this paper, we present a new approach for constructing exact solutions to nonlinear differential-difference equations (NLDDEs). By applying the new method, we have studied the saturable discrete nonlinear Schrodinger equation (SDNLSE) and obtained a number of new exact localized solutions, including discrete bright soliton solution, dark soliton solution, bright and dark soliton solution, alternating phase bright soliton solution, alternating phase dark soliton solution and alternating phase bright and dark soliton solution, provided that a special relation is bound on the coefficients of the equation among the solutions obtained.
- Subjects :
- Physics
General Mathematics
Applied Mathematics
Mathematical analysis
Phase (waves)
General Physics and Astronomy
Statistical and Nonlinear Physics
Astrophysics::Cosmology and Extragalactic Astrophysics
sine-Gordon equation
Dissipative soliton
Nonlinear system
symbols.namesake
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Simple (abstract algebra)
symbols
Peregrine soliton
Soliton
Nonlinear Sciences::Pattern Formation and Solitons
Nonlinear Schrödinger equation
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 39
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........fbdeb213a3b7ce5ec95a665dadaf77bb