Lakshmanan, M. (1975) Dispersive Φ4 wave propagation Journal of Physics A: Mathematical and General, 8 (5). pp. 788-799. ISSN 0305-4470
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Official URL: http://iopscience.iop.org/0305-4470/8/5/014
Related URL: http://dx.doi.org/10.1088/0305-4470/8/5/014
Abstract
Whitham's theory (1965) of nonlinear water waves is applied to a nonlinear c-number field ( lambda phi 4 model) to investigate the propagation characteristics of the field in the plane-wave modes. A system of first-order partial differential equations is set up for the assumed slow variations of the wave parameters corresponding to each of the different types of Jacobian elliptic function wave modes. By the method of characteristics it is shown that the system is hyperbolic in two of the regimes, indicating that the disturbances in the wave parameters propagate with two different amplitude-dependent velocities.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Physics. |
| ID Code: | 84970 |
| Deposited On: | 28 Feb 2012 12:04 |
| Last Modified: | 28 Feb 2012 12:04 |
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