Maqola

On Complex-Valued Solutions of the General Loaded Korteweg–de Vries Equation with a Source

А. Б. ХасановSamarkand State University, Samarkand, 140104, UzbekistanU. A. HoitmetovKhwarazm Branch of Romanovskii Institute of Mathematics, Uzbekistan Academy of Sciences, Urgench, Uzbekistan

Differential Equationsjournal2022en

ABI

Annotatsiya

Using the inverse scattering method, we derive the evolution of the scattering data of a nonself-adjoint Sturm–Liouville operator whose potential is a solution of the general loaded Korteweg–de Vries equation with a self-consistent source in the class of rapidly decaying complex-valued functions. An example is given to illustrate the application of the results obtained.

Mavzular

Nonlinear Waves and Solitons Advanced Mathematical Physics Problems Nonlinear Photonic Systems

Identifikatorlar

DOI: 10.1134/s0012266122030089

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