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Kadomtsev-Petviashvili equation on the half-plane. (English) Zbl 1178.35319
Theor. Math. Phys. 140, No. 2, 1086-1094 (2004); translation from Teor. Mat. Fiz. 140, No. 2, 230-240 (2004).
Summary: We study the boundary value problem for the Kadomtsev-Petviashvili equation on the half-plane $$y > 0$$ with a homogeneous condition along the boundary. We show that the problem can be efficiently solved using the dressing method. We present explicit solutions for particular cases of the boundary value problem.

##### MSC:
 35Q51 Soliton equations 35Q53 KdV equations (Korteweg-de Vries equations) 37K15 Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems
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