查看“︁化学混合流爆炸方程”︁的源代码

'''化学混合流爆炸方程'''是一组模拟化学混合流爆炸波的二元非线性偏微分方程：<ref>阎振亚著 《复杂非线性波的构造性理论及其应用》 第111页 科学出版社 2007年</ref>

<math>v(x, t)_x-v(x, t)*(1/2)*u(x, t)/\beta+\gamma*\kappa = 0</math>


<math>u(x, t)_t+u(x, t)*u(x, t)_x-\alpha*v(x, t)_x-\beta*u(x, t)_x = 0</math>

==行波解==
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|File:Chemical flow mixture explosion equation V14.gif|
|File:Chemical flow mixture explosion equation V10.gif|
|File:Chemical flow mixture explosion equation U8.gif|
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|File:Chemical flow mixture explosion equation U6.gif|
|File:Chemical flow mixture explosion equation U30.gif|
|File:Chemical flow mixture explosion equation U29.gif|
|File:Chemical flow mixture explosion equation U17.gif|
|File:Chemical flow mixture explosion equation U14.gif|
|File:Chemical flow mixture explosion equation U13.gif|
|File:Chemical flow mixture explosion equation U12.gif|
|File:Chemical flow mixture explosion equation U10.gif
}}

==参考文献==
<references/>
# *谷超豪 《[[孤立子]]理论中的[[达布变换]]及其几何应用》 上海科学技术出版社
# *阎振亚著 《复杂非线性波的构造性理论及其应用》 科学出版社 2007年
# 李志斌编著 《非线性数学物理方程的行波解》 科学出版社
#王东明著 《消去法及其应用》 科学出版社 2002
# *何青 王丽芬编著 《[[Maple]] 教程》 科学出版社 2010 ISBN 9787030177445
#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

{{非线性偏微分方程}}


[[category:非线性偏微分方程]]