Well-posed Cauchy problem and the Hamiltonian form of (2+1) nonlinear equations integrable by inverse scattering transform
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912165857853440 |
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| author | Nizhnik, Leonid |
| author_facet | Nizhnik, Leonid |
| contents | The Hamiltonian form of the (2+1) nonlinear integrable Schrödinger equation and the system of two (2+1) nonlinear analogue of the mKdV equation is proved. A well--posed Cauchy problem is formulated and the solvability of such a problem for the (2+1) nonlinear analogue of the mKdV equation is proved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_16801 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Well-posed Cauchy problem and the Hamiltonian form of (2+1) nonlinear equations integrable by inverse scattering transform Nizhnik, Leonid Exactly Solvable and Integrable Systems Mathematical Physics Functional Analysis 37K40, 35Q55, 35R30 The Hamiltonian form of the (2+1) nonlinear integrable Schrödinger equation and the system of two (2+1) nonlinear analogue of the mKdV equation is proved. A well--posed Cauchy problem is formulated and the solvability of such a problem for the (2+1) nonlinear analogue of the mKdV equation is proved. |
| title | Well-posed Cauchy problem and the Hamiltonian form of (2+1) nonlinear equations integrable by inverse scattering transform |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics Functional Analysis 37K40, 35Q55, 35R30 |
| url | https://arxiv.org/abs/2412.16801 |