Structure of the Solutions of Generalized Kadomtsev–Petviashvili Equations |
| |
Authors: | V. Yu. Belashov |
| |
Affiliation: | (1) North-East Complex Research Institute of the Far East Branch of the Russian Academy of Sciences, Magadan, Russia |
| |
Abstract: | We consider generalizations of the earlier results, obtained for one-dimensional equations of the Kadomtsev–Petviashvili (KP) class, to two- and three-dimensional KP-class equations with an arbitrary nonlinearity index with allowance for the higher-order dispersion correction and terms describing dissipation and instability. The asymptotics of soliton and nonsoliton solutions are derived. Constructing phase portraits in the 8-dimensional space based on the results of a qualitative analysis of generalized Korteweg–de Vries (KdV) equations is discussed. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|