Integrability characteristics of two-dimensional generalizations of NLS type equations
Abbreviated Journal Title
J. Math. Phys.
PARTIAL-DIFFERENTIAL EQUATIONS; (2+1)-DIMENSIONAL KDV EQUATION; INVARIANT PAINLEVE ANALYSIS; PERIODIC FIXED-POINTS; SINE-GORDON; EQUATIONS; BACKLUND-TRANSFORMATIONS; DARBOUX TRANSFORMATIONS; KORTEWEG-DEVRIES; UNIFIED APPROACH; LAX PAIRS; Physics, Mathematical
A recent procedure based on truncated Painleve expansions is used to derive Lax Pairs, Darboux transformations, and various soliton solutions for integrable (2+1) generalizations of NLS type equations. In particular, diverse classes of solutions are found analogous to the dromion, instanton, lump, and ring soliton solutions derived recently for (2+1) Korteweg-de Vries type equations, the Nizhnik-Novikov-Veselov equation, and the (2+1) Broer-Kaup system. (C) 2003 American Institute of Physics.
Journal of Mathematical Physics
"Integrability characteristics of two-dimensional generalizations of NLS type equations" (2003). Faculty Bibliography 2000s. 3674.