Using the complex WKB method for studying the evolution of initial pulses obeying the nonlinear Schrödinger equation
Using the complex WKB method, we found an asymptotic solution of the associated Zakharov-Shabat problem in the limit of a small coefficient h → 0 multiplying the derivative of the potential that has a single hump. The obtained formulas can be used in describing the evolution of optical pulses of such shape obeying the nonlinear Schrödinger equation (NSE). Several examples are considered.
KeywordsAsymptotic Solution Optical Pulse Initial Pulse Small Coefficient Single Hump
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