Solvability of One-Dimensional Semilinear Hyperbolic Systems and Sine-Gordon Equation

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초록

We study semilinear hyperbolic Eq. (1.1). We derive an explicit solution representation for some nonlinear terms F and G. For other nonlinear terms, it is shown that the solutions of the equations are related with the variable coefficient sine-Gordon equation.

키워드

Semilinear hyperbolic equationVariable coefficient sine-Gordon equationSTABILITY
제목
Solvability of One-Dimensional Semilinear Hyperbolic Systems and Sine-Gordon Equation
저자
Huh, Hyungjin
DOI
10.1007/s44198-023-00126-4
발행일
2023-09
유형
Article
저널명
Journal of Nonlinear Mathematical Physics
30
3
페이지
1264 ~ 1271