From the dynamical equation of barothopic relaxing media beneath pressure perturbations, followed with the reductive perturbative anadysis, we derive and investigate the soliton structure of a (2+1)-dimensional non...From the dynamical equation of barothopic relaxing media beneath pressure perturbations, followed with the reductive perturbative anadysis, we derive and investigate the soliton structure of a (2+1)-dimensional nonlineax evolution equation describing high-frequency regime of perturbations. Thus, by means of the Hirota's bilinearization method, we unearth three typical patterns of loop-, cusp- and hump-like shapes depending strongly upon a dissipation parameter.展开更多
文摘From the dynamical equation of barothopic relaxing media beneath pressure perturbations, followed with the reductive perturbative anadysis, we derive and investigate the soliton structure of a (2+1)-dimensional nonlineax evolution equation describing high-frequency regime of perturbations. Thus, by means of the Hirota's bilinearization method, we unearth three typical patterns of loop-, cusp- and hump-like shapes depending strongly upon a dissipation parameter.