查看“︁惠瑟姆-布罗尔-库普方程组”︁的源代码

'''惠瑟姆-布罗尔-库普方程组'''（Whitham-Broer-Kaup equation）是非线性偏微分方程组<ref>阎振亚著 《复杂非线性波的构造性理论及其应用》 38 页科学出版社 2007年</ref>

:<math>u_{t}+uu_{x}+v_{x}+\beta*u_{xx}=0</math>
:<math>v_{t}+(v*u)_{x}+\alpha*u_{xxx}=0</math>

==行波解==
Whitman-Broer-Kaup 方程有cot、coth、tan、coth等函数展开行波解：
:p[2] := -1.0833333333333333333+7.6564210202379311500*cot(-15.1+1.2*x+1.3*t)
:p[3] := -1.0833333333333333333+7.6564210202379311500*coth(-15.1+1.2*x+1.3*t)
:p[4] := -1.0833333333333333333-7.6564210202379311500*tan(-15.1+1.2*x+1.3*t)
:q[5] := 10.475595709785310629-10.475595709785310629*tanh(-15.1+1.2*x+1.3*t)^2
{{Gallery
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|File:Whitman-Broer-Kaup equation traveling wave plotV2.gif|
|File:Whitman-Broer-Kaup equation traveling wave plotV3.gif|
|File:Whitman-Broer-Kaup equation traveling wave plotV4.gif|
|File:Whitman-Broer-Kaup equation traveling wave plotV6.gif|
|File:Whitman-Broer-Kaup equation traveling wave plotV7.gif|
|File:Whitman-Broer-Kaup equation traveling wave plotV8.gif|
|File:Whitman-Broer-Kaup equation traveling wave plotU2.gif|
|File:Whitman-Broer-Kaup equation traveling wave plotU3.gif|
|File:Whitman-Broer-Kaup equation traveling wave plotU4.gif|
|File:Whitman-Broer-Kaup equation traveling wave plotU5.gif|
|File:Whitman-Broer-Kaup equation traveling wave plotU7.gif|
|File:Whitman-Broer-Kaup equation traveling wave plotU8.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}}


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