The Variable Separation Method and Exact Jacobi Elliptic Function Solutions for the Nizhnik-Novikov-Veselov Equation

• Authors: Y. Peng
• Languages of publication: EN

Abstracts

EN

Based on the singular structure analysis, the variable separation method is proposed for the Nizhnik-Novikov-Veselov equation to obtain a general functional separation solution containing three arbitrary functions. Choosing these arbitrary functions to be the Jacobi elliptic functions, a diversity of elliptic function solutions may be obtained for the equation of interest. The interaction property of the waves is numerically studied. The long wave limit gives the new type of localized coherent structures.

Keywords

EN

02.30.Jr

Discipline

• 02.30.Jr: Partial differential equations

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2006
• Volume: 110
• Issue: 1
• Pages: 3-9

Dates

published

2006-07

received

2005-10-10

(unknown)

2006-01-31

Contributors

author

Y. Peng

• Department of Mathematics, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China

References

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Identifiers

DOI

10.12693/APhysPolA.110.3