Special solutions of coupled nonlinear evolution equations with bumps that behave as interacting particles

Author:

Calogero F.,Degasperis A.

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy

Reference7 articles.

1. A. C. Scott, F. Y. F. Chu andD. W. McLaughlin:Proc. IEEE,61, 1449 (1973).

2. For a criticism of the concept of point particle see for instance the Einstein’s notes inAlbert Einstein:Philosopher-Scientist, edited byA. Schilpped (Evanston, III., 1949).

3. For an early idea of the relevance of a stochastic approach applied to cosmic electrodynamics see:W. Ritz andA. Einstein:Zeits. Phys.,10, 323 (1909). The fact thatA. Einstein was never satisfied by the nondeterministic character of quantum theory is of course well known. For recent revivals of these idea see for instance:C. Frederick:Phys. Rev. D,13, 3183 (1976). For the less unconventional idea that elementary particles be related to solitons in the framework of quantum field theory see:L. D. Faddeev:JETP Lett. 21,138 (1975). The original idea of a relationship between (what are now called) solitons and elementary particles is duo toT. H. R. Skyrme:Prov. Roy. Soc,262 A, 237 (1961).

4. F. Calogero andA. Degasperis:Lett. Nuovo Cimento,16, 425, 434 (1976). The reader is assumed to be familiar with these two papers, whose notation is used below and whose equations are referred to by their number preceded by I or II.

5. F. Calogero andA. Degasperis:Nuovo Cimento,39 B, 1 (1977).

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Spectral Transform and Solitons: How to Solve and Investigate Nonlinear Evolution Equations;Order and Chaos in Nonlinear Physical Systems;1988

2. Solitons in Interaction;Progress of Theoretical Physics;1987-11-01

3. References;Studies in Mathematics and Its Applications;1982

4. Evolution equations associated to the triangular-matrix Schrödinger problem solvable by the inverse spectral transform;Il Nuovo Cimento A;1978-05

5. Nonlinear evolution equations solvable by the inverse spectral transform;Mathematical Problems in Theoretical Physics;1978

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