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Abstract: Preliminary group classification became prominent as an approach to symmetry analysis of differential equations due to the paper by Ibragimov, Torrisi and Valenti [J. Math. Phys. 32, 2988-29...
The evolution along the tank of unidirectional nonlinear wave groups with narrow spectrum is studied both experimentally and numerically. Measurements of the instantaneous surface elevation within the...
2001Vol.35No.6pp.647-650DOI: Similarity Reduction and Integrability for the Nonlinear Wave Equations from EPM Model YAN Zhen-Ya Department of Applied Mathematics, ...
2007Vol.47No.2pp.333-338DOI: Stability of Nonlinear Wave of Kadomtsev-Petviashvili-Type Equation FENG Tian-Jun Department of Physics, Lanzhou Jiao Tong University, Lanzh...
2003Vol.39No.5pp.531-536DOI: Solving Nonlinear Wave Equations by Elliptic Equation FU Zun-Tao,1,2 LIU Shi-Da,1,2 and LIU Shi-Kuo1 1 School of Physics, Peking University,...
2005Vol.44No.4pp.589-596DOI: Classification and Functional Separable Solutions to Extended Nonlinear Wave Equations ZHANG Shun-Li,1,2,3 LOU Sen-Yue,3,4 QU Chang-Zheng,2 and YUE R...
2003Vol.39No.1pp.27-30DOI: A New Approach to Solve Nonlinear Wave Equations FU Zun-Tao, LIU Shi-Kuo, and LIU Shi-Da School of Physics, Peking University, Beijing 100871,...
2005Vol.44No.4pp.577-582DOI: Extended Group Foliation Method and Functional Separation of Variables to Nonlinear Wave Equations QU Chang-Zheng and ZHANG Shun-Li Center f...
2005Vol.44No.2pp.235-242DOI: New Rational Form Solutions to Coupled Nonlinear Wave Equations FU Zun-Tao,1,2 LIN Guang-Xing,1 LIU Shi-Kuo,1 and LIU Shi-Da1,2 1 School of ...
2004Vol.41No.5pp.675-680DOI: Elliptic Equation and Its Direct Applications to Nonlinear Wave Equations FU Zun-Tao,1,2 CHEN Zhe,1 LIU Shi-Da,1,2 and LIU Shi-Kuo1 1 Sch...
2004Vol.41No.2pp.161-174DOI: Variable Separation and Derivative-Dependent Functional Separable Solutions to Generalized Nonlinear Wave Equations ZHANG Shun-Li1,2 and LOU Sen-Yue1,...
2004Vol.42No.4pp.491-493DOI: Complex Tanh-Function Expansion Method and Exact Solutions to Two Systems of Nonlinear Wave Equations ZHANG Jin-Liang1 and WANG Ming-Liang1,2 ...

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