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- W2226699459 abstract "In this paper we consider a new series of evolution equations generalizing the Korteweg-deVries (KdV) and Burgers equations, and we report recent advances on these equations together with the physical phenomena where they arise. In particular we consider a generalized Burgers' equation and we sketch a method for solution in series by using the theory of Sobolevskij and Tanabe. Then we study the KdV equation with nonuniformity terms and we describe various physical interpretation of this equation. We consider various particular cases in which varying solitonic solutions exist. Also we sketch a unicity theorem. Finally modified Burgers-KdV equations are considered.KeywordsWater WaveBurger EquationCollisionless PlasmaDissipative MediumGeneralize BurgerThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W2226699459 date "1983-01-01" @default.
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- W2226699459 title "Some evolution equations arising in physics" @default.
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- W2226699459 doi "https://doi.org/10.1007/bfb0103241" @default.
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