EXISTENCE AND UNIQUENESS RESULTS FOR A SYSTEM OF COUPLED KDV EQUATIONS IN WEIGHTED SOBOLEV SPACE

Umirzakov, Yerzhan2024-05-032024-05-032024-04-15Umirzakov, Y. (2024). EXISTENCE AND UNIQUENESS RESULTS FOR A SYSTEM OF COUPLED KDV EQUATIONS IN WEIGHTED SOBOLEV SPACE. Nazarbayev University School of Science and Humanitieshttp://nur.nu.edu.kz/handle/123456789/7616The system of Korteweg–De Vries (KdV) equations is a system of partial differential equations. It is used to describe the modeling of shallow water surface waves. In this paper, we show the well-posedness of the coupled Kor- teweg–De Vries system of equations with initial data under Sobolev Space and Weighted Sobolev Space for 3/4 ≤ s ≤ 1.enAttribution-NonCommercial-ShareAlike 3.0 United StatesType of Access: EmbargoSobolev SpaceWeighted Sobolev SpaceWell-posednessBourgain SpaceEXISTENCE AND UNIQUENESS RESULTS FOR A SYSTEM OF COUPLED KDV EQUATIONS IN WEIGHTED SOBOLEV SPACEBachelor's thesis