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Solitary Wave Formation from a Generalized Rosenau Equation
2016
Mathematical Problems in Engineering
A generalized viscous Rosenau equation containing linear and nonlinear advective terms and mixed third- and fifth-order derivatives is studied numerically by means of an implicit second-order accurate method in time that treats the first-, second-, and fourth-order spatial derivatives as unknown and discretizes them by means of three-point, fourth-order accurate, compact finite differences. It is shown that the effect of the viscosity is to decrease the amplitude, curve the wave trajectory, and
doi:10.1155/2016/4618364
fatcat:7pf24dvfwra47fopwvptr7rc2y