Maqola

On the Integration of the Periodic Camassa–Holm Equation with an Integral-Type Source

Bazar BabajanovUrgench State University and Khorezm Branch of Academy of Sciences of Sciences of Uzbekistan, Romanovskiy Institute of Mathematics, 220100, Urgench, UzbekistanDilshod AtajonovUrgench State University and Khorezm Branch of Academy of Sciences of Sciences of Uzbekistan, Romanovskiy Institute of Mathematics, 220100, Urgench, Uzbekistan

Russian Mathematicsjournal2022en

ABI

Annotatsiya

In the present paper, we study the integration of the periodic Camassa–Holm equation with an integral-type source. Physically, sources arise in solitary waves with a variable speed and lead to a variety of dynamics of physical models. With regard to their applications, these kinds of systems are usually used to describe interactions between different solitary waves. We show that the periodic Camassa–Holm equation with an integral-type source is also an important theoretical model as it is a completely integrable system. We obtain a representation for the solution of periodic Camassa–Holm equation with an integral-type source in the framework of the inverse spectral problem for a weighted Shturm–Liouville operator.

Mavzular

Nonlinear Waves and Solitons Advanced Differential Equations and Dynamical Systems Nonlinear Photonic Systems

Identifikatorlar

DOI: 10.3103/s1066369x22110019

Iqtiboslar va manbalar

2 ta iqtibos 41 ta foydalanilgan manba

Koʻrsatkichlar — AkademScholar · Tez orada