APPROXIMATE SYMMETRY REDUCTION TO THE PERTURBED COUPLED KDV EQUATIONS DERIVED FROM TWO-LAYER FLUIDS

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LI XIN; QIAN SUPING

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

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Journal: MATHEMATICAL SCIENCES Year:2012 | Volume:6 | Issue:- Page(s): 1-5

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Title

APPROXIMATE SYMMETRY REDUCTION TO THE PERTURBED COUPLED KDV EQUATIONS DERIVED FROM TWO-LAYER FLUIDS

Author(s)

LI XIN | QIAN SUPING | Issue Writer Certificate

Keywords

COUPLED KDV EQUATIONS

APPROXIMATE SYMMETRY REDUCTION

SERIES REDUCTION SOLUTIONS

Abstract

Purpose: The purpose of this paper is to research the solution of the perturbed coupled Korteweg-de Vries (KdV) equations.Methods: The results are obtained through researching a system of corresponding partial differential equations which approximates the perturbed COUPLED KDV EQUATIONS and the symmetry method.Results: The symmetry structure and the corresponding general APPROXIMATE SYMMETRY REDUCTION are derived. Then, using the symmetry reduction, the infinite series solutions are obtained.Conclusions: The APPROXIMATE SYMMETRY REDUCTION approach can be used to search for similar results of other perturbed nonlinear differential equations with small parameters.

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APA: Copy

LI, XIN, & QIAN, SUPING. (2012). APPROXIMATE SYMMETRY REDUCTION TO THE PERTURBED COUPLED KDV EQUATIONS DERIVED FROM TWO-LAYER FLUIDS. MATHEMATICAL SCIENCES, 6(-), 1-5. SID. https://sid.ir/paper/322579/en

Vancouver: Copy

LI XIN, QIAN SUPING. APPROXIMATE SYMMETRY REDUCTION TO THE PERTURBED COUPLED KDV EQUATIONS DERIVED FROM TWO-LAYER FLUIDS. MATHEMATICAL SCIENCES[Internet]. 2012;6(-):1-5. Available from: https://sid.ir/paper/322579/en

IEEE: Copy

XIN LI, and SUPING QIAN, “APPROXIMATE SYMMETRY REDUCTION TO THE PERTURBED COUPLED KDV EQUATIONS DERIVED FROM TWO-LAYER FLUIDS,” MATHEMATICAL SCIENCES, vol. 6, no. -, pp. 1–5, 2012, [Online]. Available: https://sid.ir/paper/322579/en

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