INTEGRATION OF THE SINE-GORDON EQUATION WITH A SOURCE AND AN ADDITIONAL TERM

被引：0
作者：
Hoitmetov, Umid azadovich [1 ]
机构：
[1] Urgench State Univ, Dept Appl Math & Math Phys, H Alimdjan 14, Urgench 220100, Uzbekistan
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2022年 / 90卷 / 02期
关键词：
sine-Gordon equation; Jost solutions; inverse scattering problem; Gelfand-Levitan- Marchenko integral equation; evolution of the scattering data; DE-VRIES EQUATION;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
引用
收藏
页码：221 / 240
页数：20
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