New families of exact solitary patterns solutions for the nonlinearly dispersive R(m,n) equations |
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Authors: | Zhenya Yan |
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Institution: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, PR China |
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Abstract: | The R(m,n) equations utt+a(un)xx+b(um)xxtt=0 (a, b const) are investigated by using some ansatze. As a result, new exact solitary patterns solutions and solitary wave solutions are obtained. These obtained solutions show that not only the nonlinearly dispersive R(m,m) equations (m≠1) but also the linearly dispersive R(1,n) equations (m=1) possess solitary patterns solutions, which has infinite slopes or cusps and solitary wave solutions. |
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