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- W2370789025 abstract "Exact solvability for the third order nonlinear evolution equation describes acoustic wave propagation in relaxing media and longitudinal wave propagation with transverse shearing in nonlinear elastic bar is considered. With the aid of symbolic computation of computer algebra, abundant explicit exact particular solutions to the equation are obtained by using the extended hyperbolic function method. These solutions include the solitary wave solutions of rational function, the solitary wave solutions of kink-shaped, the solitary wave solutions of a kind of combination of the bell-shaped and kink-shaped, singular traveling wave solutions,and the periodic wave solutions of triangle function. Some known results are extended and complemented. The differences between the equation and the Boussinesq equation that shares the same nonlinearity with the third order nonlinear evolution equation are exposed." @default.
- W2370789025 created "2016-06-24" @default.
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- W2370789025 date "2009-01-01" @default.
- W2370789025 modified "2023-09-23" @default.
- W2370789025 title "Abundant explicit and exact solutions to a class of third order nonlinear wave equation" @default.
- W2370789025 hasPublicationYear "2009" @default.
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