1Department of Physics, Faculty of Science, University of Yaounde I, PO Box 812, Cameroon2Ecole Nationale Superieure Polytechnique, University of Yaounde I, PO Box 8390, Cameroon3The Abdus Salam International Centre for Theoretical Physics, PO Box 586, Strada Costiera, II-34014, Trieste, Italy
On the Conversion of High-Frequency Soliton Solutions to a (1+1)-Dimensional Nonlinear Partial Differential Evolution Equation
1Department of Physics, Faculty of Science, University of Yaounde I, PO Box 812, Cameroon2Ecole Nationale Superieure Polytechnique, University of Yaounde I, PO Box 8390, Cameroon3The Abdus Salam International Centre for Theoretical Physics, PO Box 586, Strada Costiera, II-34014, Trieste, Italy
摘要From the dynamical equation of barotropic relaxing media beneath pressure perturbations, and using the reductive perturbative analysis, we investigate the soliton structure of a (1+1)-dimensional nonlinear partial differential evolution (NLPDE) equation ∂y (∂η+u∂y+(u2/2)∂y )u+α uy+u=0, describing high-frequency regime of perturbations. Thus, by means of Hirota's bilinearization method, three typical solutions depending strongly upon a characteristic dissipation parameter are unearthed.
Abstract：From the dynamical equation of barotropic relaxing media beneath pressure perturbations, and using the reductive perturbative analysis, we investigate the soliton structure of a (1+1)-dimensional nonlinear partial differential evolution (NLPDE) equation ∂y (∂η+u∂y+(u2/2)∂y )u+α uy+u=0, describing high-frequency regime of perturbations. Thus, by means of Hirota's bilinearization method, three typical solutions depending strongly upon a characteristic dissipation parameter are unearthed.
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2008, Vol. 25 
