Titlebook: Nonlinear Equations in Physics and Mathematics; Proceedings of the N A. O. Barut Conference proceedings 1978 D. Reidel Publishing Company,

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T. Schneiderand normality as a statistical quantity – the majority of teenagers are like that. It is not quite normal, however, if this also applies to a 60-year-old, because then he has stopped at a stage of development that he shares with only a few. In this case, after puberty there has been no development o

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Dissonance

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Solutions of Nonlinear Equations Simulating Pair Production and Pair Annihilationtary waves moving in opposite directions or, conversely, two (or more) solitary waves coming together and annihilating each other with an exponential decay of the amplitude for large times. A particle motion can be associated to the phenomenon..By now many curious solutions of nonlinear equations ar

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The Two-Time Method Applied to Slowly Evolving Oscillating Systemsed to obtain the evolution when the smallness of the ratio of period to evolutionary time make a straightforward integration impossible. The approach is also ideally suited for exploring the phase-space of the dynamical system and in particular for studying the vibrational stability both to soft and

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Solitons in Physicssent understanding of soliton theory. In Section 2, I summarize some current applications of this to nonlinear physics. The range of these applications is already vast: I cannot hope to survey them all, and in Section 3, I mention a number of areas where solitons plainly have significance—for exampl

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Solitons and Geometry.. [1] in 1967, who used it to solve the initial value problem for the Korteweg-de Vries [2] equation. The method was systematized by Lax [3] in 1968 and it was given definitive respectability by Zacharov and Shabat [4] in 1971 when they solved the Schröding er equation with a cubic nonlinearity. By