Homoclinic Orbits for Some (2+1)-Dimensional Nonlinear Schr<sup>L</sup>dinger-Like Equations

SHEN Shou-feng; ZHANG Jun

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SHEN Shou-feng, ZHANG Jun. Homoclinic Orbits for Some (2+1)-Dimensional Nonlinear SchrLdinger-Like Equations[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1254-1260.

Citation:

SHEN Shou-feng, ZHANG Jun. Homoclinic Orbits for Some (2+1)-Dimensional Nonlinear Schr^Ldinger-Like Equations[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1254-1260.

SHEN Shou-feng, ZHANG Jun. Homoclinic Orbits for Some (2+1)-Dimensional Nonlinear SchrLdinger-Like Equations[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1254-1260.

Citation:

SHEN Shou-feng, ZHANG Jun. Homoclinic Orbits for Some (2+1)-Dimensional Nonlinear Schr^Ldinger-Like Equations[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1254-1260.

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Homoclinic Orbits for Some (2+1)-Dimensional Nonlinear Schr^Ldinger-Like Equations

Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, P. R. China

Received Date: 2008-05-07
Rev Recd Date: 2008-09-05
Publish Date: 2008-10-15

Abstract

Abstract

Chaos is closely associated with homoclinic orbits in deterministic nonlinear dynamics. Analytic expressions of homoclinic orbits for some(2+1)-dimensional nonlinear Schr^Ldinge-rlike equations,which include the long wave-short wave resonance interaction equation,generalization of the Zakharov equation,Mel.nikov equation and g-Schr^Ldinger equation,are constructed based on Hirota's bilinear method.
- Schr^Ldinge-rlike equation,
- homoclinic orbit,
- bilinear method

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References(15)

References

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