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Rational and Semirational Solutions of the Nonlocal Davey-Stewartson Equations

Speaker

Jinsong He, Ningbo University

Time

2018.04.16 13:00-14:00

Venue

Middle Lecture Room, Math Building

Abstract

Since party-time (PT) symmetry in quantum mechanics has been introduced at 1998, and later has been observed in several nonlinear optical experiments. There are many works to study PT symmetric integrable partial differential equations. In this talk, the partially party-time PT symmetric nonlocal Davey-Stewartson (DS) equations with respect to x is called x-nonlocal DS equations, while a fully PT symmetric nonlocal DSII equation is called nonlocal DSII equation. Several kinds of solutions, namely, breather, rational, and semi-rational solutions for these nonlocal DS equations are derived by employing the bilinear method.Since party-time (PT) symmetry in quantum mechanics has been introduced at 1998, and later has been observed in several nonlinear optical experiments. There are many works to study PT symmetric integrable partial differential equations. In this talk, the partially party-time PT symmetric nonlocal Davey-Stewartson (DS) equations with respect to x is called x-nonlocal DS equations, while a fully PT symmetric nonlocal DSII equation is called nonlocal DSII equation. Several kinds of solutions, namely, breather, rational, and semi-rational solutions for these nonlocal DS equations are derived by employing the bilinear method.Since party-time (PT) symmetry in quantum mechanics has been introduced at 1998, and later has been observed in several nonlinear optical experiments. There are many works to study PT symmetric integrable partial differential equations. In this talk, the partially party-time PT symmetric nonlocal Davey-Stewartson (DS) equations with respect to x is called x-nonlocal DS equations, while a fully PT symmetric nonlocal DSII equation is called nonlocal DSII equation. Several kinds of solutions, namely, breather, rational, and semi-rational solutions for these nonlocal DS equations are derived by employing the bilinear method.