期刊
ADVANCES IN DIFFERENCE EQUATIONS
卷 -, 期 -, 页码 -出版社
SPRINGEROPEN
DOI: 10.1186/1687-1847-2013-143
关键词
nonlinear pseudoparabolic equation; Benjamin-Bona-Mahony-Peregrine-Burgers (BBMPB) equation; Oskolkov-Benjamin-Bona-Mahony-Burgers (OBBMB) equation; one-dimensional Oskolkov equation; generalised hyperelastic-rod wave equation; tanh-coth method
We studied mostly important four nonlinear pseudoparabolic physical models: the Benjamin-Bona-Mahony-Peregrine-Burgers (BBMPB) equation, the Oskolkov-Benjamin-Bona-Mahony-Burgers (OBBMB) equation, the one-dimensional Oskolkov equation and the generalised hyperelastic-rod wave equation. By using the tanh-coth method and symbolic computation system Maple, we have obtained abundant new solutions of these equations. The exact solutions show that the tanh-coth method is a powerful mathematical tool for solving nonlinear pseudoparabolic equations.
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