The dynamics of localized pulse as solutions of Davey — Stewartson II equations
... Physics. 2006. Т. 147, №
1. P. 501—508.
Bordag M., Yurov A.
Spontaneous symmetry breaking and reflectionless scattering data // Physical Review D — Particles, Fields, Gravitation and Cosmology.
2003. Т. 67, №
Davey — Stewartson equation, Darboux transform, solitons, integrable systems, Lax pairs.
A Lax pair for the (1+3) nonlinear equation
Integral systems with four independent variables have special signifi-cance in mathematics and physics. The discovery of inverse scattering method played an important role in reconsidering the place of integrable systems of nonlinear partial differential equations in mathematical sciences. The search for a systematic approach to developing exact solutions of such systems has become one of the main problems in the theory of integrable systems.
1. Fokas A. S. Symmetries and integrability // Stud. Appl....