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New quasi-periodic waves and theirs interactions in (2+1)-dimensional nonlinear systems

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  • Bai, Cheng-Lin
  • Niu, Hui-Juan

Abstract

In this study the general variable separated approach is successfully extended to the (2+1)-dimensional physical model. An universal formula involving arbitrary number of variable separated functions is obtained. Because of the existence of the arbitrary functions in the universal formula, new exact quasi-periodic and non-periodic solutions for the (2+1)-dimensional nonlinear systems are demonstrated both analytically and graphically by means of the Jacobi elliptic functions with the space–time-dependent modulus. Some novel features or interesting behaviors are revealed.

Suggested Citation

  • Bai, Cheng-Lin & Niu, Hui-Juan, 2009. "New quasi-periodic waves and theirs interactions in (2+1)-dimensional nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2025-2034.
  • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:2025-2034
    DOI: 10.1016/j.chaos.2008.08.012
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    References listed on IDEAS

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    1. Zhao, Hong & Bai, Chenglin, 2006. "New doubly periodic and multiple soliton solutions of the generalized (3+1)-dimensional Kadomtsev–Petviashvilli equation with variable coefficients," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 217-226.
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    1. Zhao, Hong & Niu, Hui-Juan, 2009. "A new method applied to obtain complex Jacobi elliptic function solutions of general nonlinear equations," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 224-232.

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