Integration of a defocusing nonlinear Schrödinger equation with additional terms
Ulugbek Muminov, А. Б. Хасанов
Abstract
The inverse spectral problem method is used to integrate the nonlinear Schrödinger equation with some additional terms in the class of infinite-gap periodic functions. We reveal the evolution of spectral data for a periodic Dirac operator whose coefficients solve the Cauchy problem for a nonlinear Schrödinger equation with some additional terms. Several examples are given to illustrate the algorithm described in the paper.
Topics & Concepts
Nonlinear systemMathematicsNonlinear Schrödinger equationOperator (biology)Mathematical analysisInverse problemCauchy distributionInitial value problemCauchy problemClass (philosophy)InverseSchrödinger equationApplied mathematicsPhysicsQuantum mechanicsComputer scienceGeneChemistryArtificial intelligenceGeometryTranscription factorBiochemistryRepressorNonlinear Waves and SolitonsAdvanced Mathematical Physics ProblemsNonlinear Photonic Systems