1,721,123 research outputs found
HIERARCHIES OF INTEGRABLE EQUATIONS OBTAINED AS NONISOSPECTRAL (INX AND T) DEFORMATIONS OF THE SCHRODINGER SPECTRAL PROBLEM
No full textLEVI-CIVITA THEORY FOR IRROTATIONAL WATER-WAVES IN A ONE-DIMENSIONAL CHANNEL AND THE COMPLEX KORTEWEG-DE VRIES EQUATION
No full textWe review the Levi-Civita theory, which reduces the study of the irrotational flow in a one-dimensional channel or the solution of a non-linear differential-functional partial differential equation for the velocity potential. We show how, by considering small perturbations in a shallow water channel, we can reduce the non-linear differential-functional equation to a complex Korteweg-de Vries equation which, for almost horizontal flow and for initial conditions independent of the vertical variable, reduces to the usual one
ON A NEW DARBOUX TRANSFORMATION FOR THE CONSTRUCTION OF EXACT-SOLUTIONS OF THE SCHRODINGER-EQUATION
No full text
ALTERNATIVES TO THE KADOMTSEV-PETVIASHVILI EQUATION IN THE DESCRIPTION OF WATER-WAVES IN 2 DIMENSIONS
No full text
Multiple-scale analysis of discrete nonlinear partial difference equations: the reduction of the lattice potential KdV
No full textWe consider multiple lattices and functions defined on them. We introduce slow varying conditions for functions defined on the,lattice and express the variation of a function in terms of an asymptotic expansion with respect to the slow varying lattices. We use these results to perform multiple-scale reduction of the lattice potential Korteweg-de Vries equation
THE CYLINDRICAL KADOMTSEV-PETVIASHVILI EQUATION - ITS KAC-MOODY-VIRASORO ALGEBRA AND RELATION TO KP EQUATION
No full text- …
