The spectral representation of a class of \(m\)-KP equation and its quasi-periodic solution. (English) Zbl 1142.35558
Summary: This paper gives the spectral representation of a class of \((2+1)\)-dimensional modified Kadomtsev-Petviashvili (\( m\)-KP) equation with a constant parameter. Its quasi-periodic solution is obtained in terms of Riemann theta functions.
MSC:
| 35Q51 | Soliton equations |
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
| 35B15 | Almost and pseudo-almost periodic solutions to PDEs |
