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Hirota-Satsuma equation : ウィキペディア英語版
Hirota-Satsuma equation
Hirota Satsuma equation is a set of three coupled nonlinear partial differential equations:〔Li Zhibing Traveling Wave Solutions of Nonlinear Mathematical Physics Equations P140,SCIENCEP 2008 (李志斌编著 《非线性数学物理方程的行波解》 140页 科学出版社 2008)〕
:u_-0.5
*u_+3uu_-3(vw)_=0
:v_+v_-3uv_=0
:w_+w_-3uw_=0
Hirota-Satsuma equation appeared in the theory of shallow water waves, first discussed by Hirota, Ryogo; Satsuma, Junkichi in 1976.〔Hirota, Ryogo; Satsuma, Junkichi,N-Soliton Solutions of Model Equations for Shallow Water Waves,Journal of the Physical Society of Japan, Volume 40, Issue 2, pp. 611 (1976)〕
Hirota-Satsuma equation has multiple soliton solutions and traveling wave solutions.
==References==

#Graham W. Griffiths William E.Shiesser Traveling Wave Analysis of Partial Differential p135 Equations Academy Press
# Richard H. Enns George C. McCGuire, Nonlinear Physics Birkhauser,1997
#Inna Shingareva, Carlos Lizárraga-Celaya,Solving Nonlinear Partial Differential Equations with Maple Springer.
#Eryk Infeld and George Rowlands,Nonlinear Waves,Solitons and Chaos,Cambridge 2000
#Saber Elaydi,An Introduction to Difference Equationns, Springer 2000
#Dongming Wang, Elimination Practice,Imperial College Press 2004
# David Betounes, Partial Differential Equations for Computational Science: With Maple and Vector Analysis Springer, 1998 ISBN 9780387983004
# George Articolo Partial Differential Equations & Boundary Value Problems with Maple V Academic Press 1998 ISBN 9780120644759

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