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

Cheng-Lin Bai and Hui-Juan Niu

Chaos, Solitons & Fractals, 2009, vol. 41, issue 4, 2025-2034

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:4:p:2025-2034

DOI: 10.1016/j.chaos.2008.08.012

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