Degenerate four-virtual-soliton resonance for the KP-II

DOI10.1007/s11232-005-0130-xzbMath1178.37086arXivhep-th/0410031OpenAlexW2145935581MaRDI QIDQ843898

M. L. Y. Francisco, Oktay K. Pashaev

Publication date: 17 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0410031

zbMATH Keywords

reaction-diffusion systemHirota methodKadomtsev-Petviashvili equationsoliton resonancedissipative solitonAblowitz-Kaup-Newell-Segur hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items

Soliton solutions of the Kadomtsev-Petviashvili II equation, Soliton resonance and web structure in the Davey–Stewartson system, Soliton resonances for the MKP-II, Resonant collisions between lumps and periodic solitons in the Kadomtsev–Petviashvili I equation, Inelastic interactions of the multiple-front waves for the modified Kadomtsev-Petviashvili equation in fluid dynamics, plasma physics and electrodynamics, On the construction of the KP line-solitons and their interactions

Cites Work

• Soliton resonances for the MKP-II
• Integrable dissipative structures in the gauge theory of gravity
• New reductions of the Kadomtsev–Petviashvili and two-dimensional Toda lattice hierarchies via symmetry constraints
• On a family of solutions of the Kadomtsev–Petviashvili equation which also satisfy the Toda lattice hierarchy
• Nonlinear Waves, Solitons and Chaos
• RESONANCE SOLITONS AS BLACK HOLES IN MADELUNG FLUID