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A meshless method and stability analysis for the nonlinear Schrodinger equation
- Publication Year :
- 2017
- Publisher :
- Taylor & Francis LTD, 2017.
-
Abstract
- WOS: 000407961100004<br />In this paper, the non-linear Schrodinger (NLS) equation was solved by a meshless method based on the moving least-squares approximation. Single-soliton solution and interaction of two colliding solitons were studied to validate the accuracy of the proposed method. In calculations, different weight functions in which Gaussian and Wendland's compactly supported functions were used. For the single-soliton solution of NLS equation whose analytical solution was known L-2, L-infinity error norms and invariants were calculated for two test problems. The obtained results were compared with both each other and some earlier results. Stability analysis of difference equation was done by applying the proposed method for NLS equation.
- Subjects :
- Regularized meshless method
Differential equation
Gaussian
Mathematical analysis
General Engineering
General Physics and Astronomy
010103 numerical & computational mathematics
01 natural sciences
Stability (probability)
010101 applied mathematics
symbols.namesake
Nonlinear Sciences::Exactly Solvable and Integrable Systems
symbols
0101 mathematics
Nonlinear Sciences::Pattern Formation and Solitons
Nonlinear Schrödinger equation
Schrödinger's cat
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....9e27edf13bb0275c71704552ef5fbc01