Discrete 2N-wave interaction

Ryogo Hirota, Tatsuya Imai, Satoshi Tsujimoto and Yasuhiro Ohta

Mathematics and Computers in Simulation (MATCOM), 1994, vol. 37, issue 4, 371-383

Abstract: A difference scheme of a system of nonlinear partial differential equations describing 2N-wave interaction (9n = 1,2,....N,Uo=uN+1=0)Δ+xun(x,y)=un(x+δ,y)υn(x,y+ε)−un(x,y)υn+1(x,y),Δ+yun(x,y)=υn(x,y+ϵ)un−1(x+δ,y)−υn(x,y)un(x,y), is obtained preserving an integrability of the system.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:37:y:1994:i:4:p:371-383

DOI: 10.1016/0378-4754(94)00025-5

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