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.
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(Communicated by GUO Bo-ling)
Project supported by the National Natural Science Foundation of China (No. 10501040)
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Shen, Sf., Zhang, J. Homoclinic orbits for some (2+1)-dimensional nonlinear Schrödinger-like equations. Appl. Math. Mech.-Engl. Ed. 29, 1383–1389 (2008). https://doi.org/10.1007/s10483-008-1013-y
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DOI: https://doi.org/10.1007/s10483-008-1013-y