SYMMETRY AND CONSERVATION LAW CLASSIFICATION AND EXACT SOLUTIONS TO THE GENERALIZED KdV TYPES OF EQUATIONS-Reference-Cited by-同舟云学术

SYMMETRY AND CONSERVATION LAW CLASSIFICATION AND EXACT SOLUTIONS TO THE GENERALIZED KdV TYPES OF EQUATIONS

Published:2012-08 Issue:08 Volume:22 Page:1250188
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

LIU HANZE¹²,LI JIBIN³⁴,LIU LEI⁵

Affiliation:

1. School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, P. R. China

2. Department of Mathematics, Binzhou University, Binzhou, Shandong 256603, P. R. China

3. Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China

4. Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, P. R. China

5. The Center for Economic Research, Shandong University, Ji'nan, Shandong 250100, P. R. China

Abstract

In this paper, complete geometric symmetry and conservation law classification of the generalized KdV types of equations are investigated. All of the geometric vector fields and second-order multipliers for the equations are obtained, and the corresponding conservation laws of the equations are presented explicitly. These comprise all of the second-order conservation laws for the equations. Furthermore, an analytic method is developed for dealing with the exact solutions to the generalized nonlinear partial differential equations with composite function terms.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021812741250188X

Reference10 articles.

1. Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications

2. Applications of Symmetry Methods to Partial Differential Equations

3. Exact and explicit analytic solutions of an extended Jabotinsky functional differential equation

4. The exact analytic solutions of a nonlinear differential iterative equation

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