Solitary Structures in Nonlinear Fields
An overview of recent work in nonlinear fields is presented, with intent to provide a pedagogical introduction to the recent literature. The ideas reach into many branches of physics, chemistry, and continuum mechanics. The significant feature of strong nonlinearity is that spatially extended waves interact and organize into well-characterized, localized objects. The result is that objects like domain walls, dislocations, and such may be found. These structures rely on the nonlinearity inherent in the problem to such an extent that they can not be generated by a perturbation theory starting with a plane-wave basis. Most important, they have static and dynamic stability in a wide number of cases, and play a significant role in both the statistical and quantum mechanical descriptions of many physical systems.
KeywordsPartition Function Domain Wall Solitary Wave Quantum Mechanical Description Solitary Structure
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- (2).G. L. Lamb and D. W. McLaughlin (unpublished).Google Scholar
- (4).J. Scott-Russell, Proc. Roy. Soc. Edinburgh, 319, (1844).Google Scholar
- (5).NSF Conference on Solitons, Tucson, Arizona (1976).Google Scholar
- (6).E. Fermi, J. R. Pasta, S. M. Ulam, Los Alamos Sci. Lab., Rep. LA-1940 (1955).Google Scholar
- (10).W. Döring, Z. Naturforschung, 31, 373 (1948).Google Scholar
- (12).A. C. Scott, Nuovo Cimento, 69B, 214 (1970).Google Scholar
- (14).L. D. Faddeev, L. A. Takhatajan, Uspekhi Math. Sci. 29, 249 (1974);Google Scholar
- (14a).L. D. Faddeev, L. A. Takhatajan, Theor. Math. Phys. 21, 160 (1974) (See also preprint JINR E27998 (1974)).Google Scholar