6533b832fe1ef96bd129a4a5
RESEARCH PRODUCT
Exact dark soliton solutions for a family ofNcoupled nonlinear Schrödinger equations in optical fiber media
Nakkeeran Kaliyaperumalsubject
PhysicsPartial differential equationMathematical analysisSchrödinger equationNonlinear systemDissipative solitonsymbols.namesakeNonlinear Sciences::Exactly Solvable and Integrable SystemsDispersion (optics)symbolsPeregrine solitonSolitonNonlinear Sciences::Pattern Formation and SolitonsEigenvalues and eigenvectorsMathematical physicsdescription
We consider a family of N coupled nonlinear Schr\"odinger equations which govern the simultaneous propagation of N fields in the normal dispersion regime of an optical fiber with various important physical effects. The linear eigenvalue problem associated with the integrable form of all the equations is constructed with the help of the Ablowitz-Kaup-Newell-Segur method. Using the Hirota bilinear method, exact dark soliton solutions are explicitly derived.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-09-25 | Physical Review E |