Application of the quadratures method to the NLS with saturation
Dmitry Levko
TL;DR
This paper applies the quadratures method to solve the nonlinear Schrödinger equation with saturation, deriving conditions for the existence of soliton solutions using degeneracy theory.
Contribution
It introduces a novel application of the quadratures method to the NLS with saturation and establishes existence conditions for solitons.
Findings
Existence conditions for soliton solutions derived.
Solution expressed via quadratures using degeneracy theory.
Method demonstrates effectiveness for nonlinear Schrödinger equations with saturation.
Abstract
The solution of nonlinear Schroedinger equation with saturation was found by means the quadratures method in terms of degeneracy theory. It was shown the existence conditions for soliton solutions.
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Taxonomy
TopicsNonlinear Waves and Solitons · Numerical methods for differential equations · Differential Equations and Numerical Methods