Special Bäcklund transformations and nonlinear superpositions for the non-integrable 4 field model. (English) Zbl 1092.81047
In this paper, the exact solution of the well-known \((N+1)\)-dimensional scalar field \(\phi^4\) model is studied by means of the special Bäcklund transformation and nonlinear superpositions. Some new type of exact solutions such as the conoid periodic-periodic interaction waves and the periodic solitary wave interaction solutions are explicitly given.
Reviewer: T. C. Mohan (Dehra Dun)
MSC:
| 81T10 | Model quantum field theories |
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 37K35 | Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems |
| 81V15 | Weak interaction in quantum theory |
