Periodic and solitary waves in systems of coherently coupled nonlinear envelope equations
DOI10.1080/00207160903082405zbMath1191.35249OpenAlexW2070327667MaRDI QIDQ3568447
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Publication date: 11 June 2010
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10722/65604
solitary waveselliptic functionsnonlinear Schrödinger equationscoherently coupled envelope equationsquadratic solitons
PDEs in connection with optics and electromagnetic theory (35Q60) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Stability in context of PDEs (35B35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Software, source code, etc. for problems pertaining to partial differential equations (35-04) Soliton solutions (35C08)
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Cites Work
- Multiple solitary waves due to second-harmonic generation in quadratic media
- Soliton states in a nonlinear directional coupler with intermodal dispersion
- Elliptic functions and applications
- Product and Rational Decompositions of Theta Functions Representations for Nonlinear Periodic Waves
- Multi-soliton complexes
- Highly accurate finite difference method for coupled nonlinear Schrödinger equation
- New second- and fourth-order accurate numerical schemes for the nonlinear cubic Schrödinger equation
- Exact solutions for the ZK-MEW equation by using the tanh and sine–cosine methods
- Periodic solutions for a system of four coupled nonlinear Schrödinger equations
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