Type-II hidden symmetry and nonlinear self-adjointness of Boiti–Leon–Pempinelli equation |
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| Institution: | 1. College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, PR China;2. College of Sciences, North China University of Technology, Beijing 100144, PR China;3. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, PR China;1. Departamento de Física, Universidade do Estado de Santa Catarina, 89219-710 Joinville, Brazil;2. Departamento de Física, Universidade Federal do Paraná, 81531-980 Curitiba, Brazil;1. Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China;2. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China;1. College of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China;2. School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China;3. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China;1. Department of Mechanical Engineering, University of Hong Kong, Pokfulam, Hong Kong;2. Department of Mathematics, University of Hong Kong, Pokfulam, Hong Kong;1. Tokyo University of Science, Tokyo, Japan;2. Fujitsu Limited, Tokyo, Japan |
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| Abstract: | This paper focuses on two aspects. Firstly, we convert Boiti–Leon–Pempinelli (BLP) equation to (1+1)-dimensional partial differential equation via similarity transformation, and then analyze hidden symmetry of BLP equations via studying classical and nonclassical symmetries of the (1+1)-dimensional equations. As a byproduct, some new invariant solutions of BLP equations are constructed. Secondly, we show that BLP equation is nonlinearly self-adjoint and give the general formula of conservation laws. |
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| Keywords: | Type-II hidden symmetry Invariant solutions Nonlinear self-adjointness |
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