Obliquely Interacting N Traveling Waves:Exact Solutions of Some Two-Dimensional Nonlinear Diffusion Equations
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概要
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Exact solutions to a two-dimensional extension of Burgers' equation are presentedby using the bilinear transformation method. They include traveling wave solutionswith arbitrary constants, whose forms are hyperbolic tangents. They also include Ntraveling-wave solutions, some of which describe the coalescence of N waves pro-pagating in a unidirection, and others of which dc:scribe the c>blique interaction be-twccn N waves.[trave1ing front, shock wave, bilinear transforntation, Hopf-Cole transforma- ]l lion,Burgers'equation,Kadomtsev-Petviashvili equation,l3oussinesq equation l
- 社団法人日本物理学会の論文
- 1990-01-15
著者
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MURAKAMI Youichi
Department of Physics, Tohoku University
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Murakami Y
Univ. Osaka Prefecture Osaka
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Murakami Youichi
Department Of Aerospace Engineering College Of Engineering Osaka Prefecture University
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