Conclusion

Abstract

A number of books have already been published in the field of nonlinear dynamics and solitons, and many volumes include an analysis of nonlinear models of low-dimensional solid-state physics developed for different applications. A majority of those books includes discussions of seemingly different physical phenomena, where nonlinear excitations become important, as well as some technical methods for solving particular nonlinear equations. The title of this book sounds a bit narrow, and, indeed, it is used more often in the narrow context of a classical model for dislocation dynamics. The spontaneous, legitimate reaction of a careless reader to this title can be summarized by the general question: “Why study a particular model?”