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Soliton solutions of the negative-order nonlinear Schrödinger equation

G. U. UrazboevKhorezm Branch of the Romanovsky Institute of Mathematics, Uzbekistan Academy of Science, Urgench, UzbekistanIroda Ismailovna BaltaevaUrgench State University, Urgench, UzbekistanA. K. BabadjanovaKhorezm Branch of the Romanovsky Institute of Mathematics, Uzbekistan Academy of Science, Urgench, Uzbekistan

Theoretical and Mathematical Physicsjournal2024en

ABI

Annotatsiya

We discuss the integration of the Cauchy problem for the negative-order nonlinear Schrödinger equation in the class of rapidly decreasing functions via the inverse scattering problem method. In particular, we obtain the time dependence of scattering data of the Zakharov–Shabat system with the potential that is a solution of the considered problem. We give an explicit representation of the one-soliton solution of the negative-order nonlinear Schrödinger equation based on the obtained results.

Mavzular

Nonlinear Waves and Solitons Nonlinear Photonic Systems Advanced Mathematical Physics Problems

Identifikatorlar

DOI: 10.1134/s0040577924050052

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