Algebro-geometric solutions of \((2+1)\)-dimensional coupled modified Kadomtsev-Petviashvili equations. (English) Zbl 0991.37045
The authors consider new \((2+1)\)-dimensional integrable coupled modified Kadomtsev-Petviashvili (mKP) equations and decompose them into systems of ordinary differential equations. They obtain and discuss algebro-geometric solutions of these \((2+1)\)-dimensional coupled mKP equations related to hyperelliptic curves.
Reviewer: Igor Potemine (Toulouse)
MSC:
| 37K20 | Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions |
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 14H70 | Relationships between algebraic curves and integrable systems |
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