Abstract: 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 Schrödinger-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-Schrödinger equation are constructed based on Hirota's bilinear method.

Key words: Homoclinic orbit, Schrö, dinger-like equation, bilinear method