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Stability and soliton via modified nonlinear schrödinger equation
Author(s) -
Li Guifang,
Seshadri S. R.
Publication year - 1991
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.4650041116
Subject(s) - soliton , nonlinear schrödinger equation , nonlinear system , stability (learning theory) , mathematical analysis , physics , plane (geometry) , plane wave , classical mechanics , mathematics , mathematical physics , quantum mechanics , geometry , computer science , machine learning
Abstract The evolution of nonlinear dispersive waves in weakly and cubically nonlinear media is shown to be governed by a modified nonlinear Schrödinger equation. The linear stability of the plane‐wave solution and the soliton solution are investigated using the modified governing equation. The height of the new soliton is a function of both its width and velocity.