Nonlinear standing waves on the surface of a self-gravitating cylinder |
| |
Authors: | R. K. Chhabra S. K. Trehan |
| |
Affiliation: | (1) Panjab University, Chandigarh, India |
| |
Abstract: | The weakly nonlinear standing waves on the surface of a self-gravitating incompressible fluid column are investigated in the presence of, a uniform axial-magnetic field. By use of the method of multiple scales, we have shown that near the critical wave number, the amplitude modulation of a standing wave can be described by a nonlinear Schrödinger equation with the roles of time and space variable interchanged. It is demonstrated that in presence of a magnetic field, the system is always stable near the critical wave number.Department of Chemical Engineering, and TechnologyDepartment of Mathematics |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|