Homoclinic orbits for some(2+1)-dimensional nonlinear Schrdinger-like equations

摘要

Chaos is closely associated with homoclinic orbits in deterministic nonlinear dynamics.In this paper,analytic expressions of homoclinic orbits for some(2+1)- dimensional nonlinear Schrdinger-like equations are constructed based on Hirota’s bilinear method,including long wave-short wave resonance interaction equation,generalization of the Zakharov equation,Mel’nikov equation,and g-Schrdinger equation are constructed based on Hirota’s bilinear method.