Solution of the initial value problem for the focusing Davey-Stewartson II system
Evgeny Lakshtanov, Boris Vainberg
TL;DR
This paper develops a method to solve the initial value problem for the focusing Davey-Stewartson II system, addressing challenges posed by exceptional points or curves in the solution space.
Contribution
It introduces a novel approach to handle exceptional points in solving the focusing Davey-Stewartson II system's Cauchy problem.
Findings
Successfully constructs solutions in the presence of exceptional points
Extends the solvability of the initial value problem to more general cases
Provides a framework for analyzing similar integrable systems
Abstract
We consider a focusing Davey-Stewartson system and construct the solution of the Cauchy problem in the possible presence of exceptional points (and/or curves).
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Navier-Stokes equation solutions · Nonlinear Waves and Solitons