On the generalized nonlinear Camassa–Holm equation
| Autor: | Mohamad Darwich, Samer Israwi |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Weight function
Algebra and Number Theory Camassa–Holm equation Iterative method 010102 general mathematics 01 natural sciences Sobolev space Nonlinear system 0103 physical sciences Initial value problem Order (group theory) Applied mathematics 010307 mathematical physics Uniqueness 0101 mathematics Mathematical Physics Analysis Mathematics |
| Zdroj: | Analysis and Mathematical Physics. 11 |
| ISSN: | 1664-235X 1664-2368 |
| Popis: | In this paper, a generalized nonlinear Camassa–Holm equation with time- and space-dependent coefficients is considered. We show that the control of the higher order dispersive term is possible by using an adequate weight function to define the energy. The existence and uniqueness of solutions are obtained via a standard Picard iterative method, so that there is no loss of regularity of the solution with respect to the initial condition in some appropriate Sobolev space. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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