RT journal article
T1 Integrable (3 + 1)-Dimensional Generalization for the Dispersionless Davey–Stewartson System
A1 Pan Collantes, Antonio Jesús
A2 Matemáticas
K1 Integrable systems
K1 Davey–Stewartson system
K1 Hydrodynamic-type systems
K1 Lax pairs
K1 Fluid dynamics
K1 Plasma physics
AB This paper introduces a (3 + 1)-dimensional dispersionless integrable system, utilizinga Lax pair involving contact vector fields, in alignment with methodologiespresented by Sergyeyev in 2014. Significantly, it is shown that the proposed systemserves as an integrable (3 + 1)-dimensional generalization of the well-studied (2 + 1)-dimensional dispersionless Davey–Stewartson system. This way, an interesting newexample on integrability in higher dimensions is presented, with potential applicationsin analyzing three-dimensional nonlinear waves across various fields, includingoceanography, fluid dynamics, plasma physics, and nonlinear optics. Importantly, theintegrable nature of the system suggests that established techniques like the study ofsymmetries, conservation laws, and Hamiltonian structures could be applicable.
PB Birkhauser
SN 1575-5460
YR 2024
FD 2024
LK http://hdl.handle.net/10498/33751
UL http://hdl.handle.net/10498/33751
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026