Work

Mixed Problem for the Negative Order Modified Korteweg-de Vries–cosine Gordon Equation

Year: 2025

Type: article

Abstract: In this paper, the negative order modified Korteweg-de Vriescosine Gordon equation (nmKdV-coshG) in the class of periodic infinitegap functions is integrated using the inverse spectral problem method.It is demonstrated that the Cauchy problem for the infinite Dubrovin differential equation system is solvable in the class of twice continuously differentiable periodic infinite-gap functions.It is demonstrated that the mKdV-coshG equation is satisfied by the sum of the uniformly convergent functional series constructed by solving the Dubrovin differential equation system.Furthermore, it is demonstrated that a global solution to the mixed problem for the negative order modified Korteweg-de Vries-cosine Gordon equation exists for sufficiently smooth initial data.

Source: Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan

DOI: 10.30546/2409-4994.2025.51.1.1024

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410849547

FWCI:

Cites: 8

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Related to: 10