Lagrangians of the \((2+ 1)\)-dimensional KP equation with variable coefficients and cross terms
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Authors
Hong-Yan Liu
- School of Fashion Technology, Zhongyuan University of Technology, No. 41 Zhongyuan Road (M), 450007 Zhengzhou, China.
- National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-ai Road, 215123 Suzhou, China.
Ji-Huan He
- National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-ai Road, 215123 Suzhou, China.
Zhi-Min Li
- Rieter (China) Textile Instrument Co., 1068 West Tianshan Road, 200335 Shanghai, China.
Abstract
Zhang constructed a Lagrangian for the (2 + 1)-dimensional KP equation with variable coefficients and
cross terms [L. H. Zhang, Appl. Math. Comput., 219 (2013), 4865-4879]. This paper suggests a simple
method to construct a needed Lagrangian using the semi-inverse by introducing a simple auxiliary function,
the presented method is simpler than Zhang's method to construct a Lagrangian.
Share and Cite
ISRP Style
Hong-Yan Liu, Ji-Huan He, Zhi-Min Li, Lagrangians of the \((2+ 1)\)-dimensional KP equation with variable coefficients and cross terms, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 3, 870--872
AMA Style
Liu Hong-Yan, He Ji-Huan, Li Zhi-Min, Lagrangians of the \((2+ 1)\)-dimensional KP equation with variable coefficients and cross terms. J. Nonlinear Sci. Appl. (2016); 9(3):870--872
Chicago/Turabian Style
Liu, Hong-Yan, He, Ji-Huan, Li, Zhi-Min. "Lagrangians of the \((2+ 1)\)-dimensional KP equation with variable coefficients and cross terms." Journal of Nonlinear Sciences and Applications, 9, no. 3 (2016): 870--872
Keywords
- Variational principle
- least square technology
- semi-inverse method.
MSC
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