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Classification and Functional Separable Solutions to Extended Nonlinear Wave Equations
Authors:ZHANG;Shun-Li;LOU;Sen-Yue;QU;Chang-Zheng;YUE;Rui-Hong
Institution:1. Institute of Modern Physics, Northwest University, Xi'an 710069, China ;2. Department of Mathematics, Northwest University, Xi'an 710069, China ;3. Center of Nonlinear Science, Ningbo University, Ningbo 315211, China ;4. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
Abstract:The generalized conditional symmetry approach is applied to study the variable separation of the extended wave equations. Complete classification of those equations admitting functional separable solutions is obtained and exact separable solutions to some of the resulting equations are constructed.
Keywords:nonlinear wave equations  functional separable solutions  generalized conditional symmetry
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