Soliton solutions to coupled higher-order nonlinear Schrödinger equations
- 1 March 1992
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 33 (3) , 1208-1215
- https://doi.org/10.1063/1.529732
Abstract
A set of coupled higher‐order nonlinear Schrödinger equations, which describe electromagnetic pulse propagation in coupled optical waveguides, is formulated in terms of an eigenvalue problem. Using that result, the inverse scattering problem is solved and explicit soliton solutions are found. Additionally, linear coupling terms are studied systematically.Keywords
This publication has 33 references indexed in Scilit:
- New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger EquationJournal of the Physics Society Japan, 1991
- Pulse propagation in an elliptically birefringent Kerr mediumIEEE Journal of Quantum Electronics, 1989
- Stability of solitons in birefringent optical fibers II Arbitrary amplitudesJournal of the Optical Society of America B, 1988
- Nonlinear pulse propagation in birefringent optical fibersIEEE Journal of Quantum Electronics, 1987
- Polarization instabilities in birefringent nonlinear media: application to fiber-optic devicesOptics Letters, 1986
- The quantum spectral transform method for the one- and two-component nonlinear Schrodinger modelJournal of Physics A: General Physics, 1983
- The nonlinear coherent couplerIEEE Journal of Quantum Electronics, 1982
- An exact solution for a derivative nonlinear Schrödinger equationJournal of Mathematical Physics, 1978
- Nonlinear coupling of polarized plasma wavesJournal of Plasma Physics, 1976
- Exact envelope-soliton solutions of a nonlinear wave equationJournal of Mathematical Physics, 1973