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Your search keyword '"jost solutions"' showing total 3 results
Start Over Descriptor "jost solutions" Topic inverse problems Topic problem solving Publication Year Range Last 3 years
3 results on '"jost solutions"'

1. On the Cauchy Problem for the mKdV–Sine-Gordon Equation with an Additional Term.

Author

Hoitmetov, Umid

Subjects
*EQUATIONS, *CAUCHY problem, *PROBLEM solving, *INVERSE problems, *INTEGRAL equations
Abstract

The work is devoted to solving the Cauchy problem for the modified Korteweg-de Vries–sine-Gordon (mKdV–sG) equation with an additional term in the class of rapidly decreasing functions. The problem is solved by the inverse scattering method. Several examples are given illustrating the application of the obtained results. [ABSTRACT FROM AUTHOR]

Published
2023
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2. INTEGRATION OF THE SINE-GORDON EQUATION WITH TIME-DEPENDENT COEFFICIENTS AND AN ADDITIONAL TERM.

Author

U. A., Hoitmetov

Subjects
SINE-Gordon equation, CAUCHY problem, PROBLEM solving, INVERSE problems, INTEGRAL equations
Abstract

The work is devoted to solving the Cauchy problem for the sine-Gordon equation with time-dependent coefficients and an additional term in the class of rapidly decreasing functions. The problem is solved by the inverse scattering method. Several special cases of the sine-Gordon equation with an additional term are given, which can be integrated using the inverse scattering method, for example, the loaded sine-Gordon equation. Several examples are given to illustrate the application of the obtained results. [ABSTRACT FROM AUTHOR]

Published
2023
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3. Integration of the sine-Gordon equation with a source and an additional term.

Author

Hoitmetov, Umid Azadovich

Subjects
*SINE-Gordon equation, *CAUCHY problem, *PROBLEM solving, *INVERSE problems, *INTEGRAL equations
Abstract

The work is devoted to solving the Cauchy problem for the sine-Gordon equation with an additional term and a self-consistent source in the class of rapidly decreasing functions. The problem is solved by the inverse scattering method. Several special cases of the sine-Gordon equation with an additional term are given, which can be integrated using the inverse scattering method, for example, the loaded sine-Gordon equation. Several examples are given to illustrate the application of the obtained results. [ABSTRACT FROM AUTHOR]

Published
2022
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