Khare, Avinash ; Saxena, Avadh (2009) Higher order periodic solutions of coupled φ4 and φ6 models Journal of Physics A: Mathematical and Theoretical, 42 (33). 335401_1-335401_15. ISSN 1751-8113
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Official URL: http://iopscience.iop.org/1751-8121/42/33/335401
Related URL: http://dx.doi.org/10.1088/1751-8113/42/33/335401
Abstract
We obtain several higher order periodic solutions of (i) a coupled symmetric φ4 model in an external field, (ii) a coupled asymmetric φ4 model, (iii) a coupled symmetric-asymmetric φ4 model and (iv) a coupled φ6 model in terms of Lamé polynomials and obtain the corresponding hyperbolic solutions in the appropriate limit. All these solutions are unusual in the sense that while they are the solutions of the coupled problems, they are not the solutions of the corresponding uncoupled problems. Possible physical applications of these solutions include periodic domain walls in magnetic and structural phase transitions as well as in field theory.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Physics. |
| ID Code: | 83386 |
| Deposited On: | 20 Feb 2012 09:26 |
| Last Modified: | 20 Feb 2012 09:26 |
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