FROBENIUS INTEGRABLE DECOMPOSITIONS FOR TWO CLASSES OF NONLINEAR EVOLUTION EQUATIONS WITH VARIABLE COEFFICIENTS-Reference-Cited by-同舟云学术

FROBENIUS INTEGRABLE DECOMPOSITIONS FOR TWO CLASSES OF NONLINEAR EVOLUTION EQUATIONS WITH VARIABLE COEFFICIENTS

Published:2009-05-20 Issue:12 Volume:23 Page:1519-1524
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

YOU FUCAI¹,XIA TIECHENG²³,ZHANG JIAO¹

Affiliation:

1. Foundation Department, Shenyang Institute of Engineering, Shenyang 110136, China

2. Key Laboratory of Mathematics Mechanization, Beijing, 100049, China

3. Department of Mathematics, Shanghai University, Shanghai 200444, China

Abstract

Frobenius integrable decompositions are introduced for partial differential equations with variable coefficients. Two classes of partial differential equations with variable coefficients are transformed into Frobenius integrable ordinary differential equations. The resulting solutions are illustrated to describe the solution phenomena shared with the KdV and potential KdV equations, the Boussinesq equation and the Camassa–Holm equation with variable coefficients.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984909019764

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