The Broer–Kaup
equation
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign . The word ''equation'' and its cognates in other languages may have subtly different meanings; for example, in ...
s are a set of two coupled
nonlinear
In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other ...
partial differential equation
In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function.
The function is often thought of as an "unknown" to be sol ...
s:
[阎振亚著 《复杂非线性波的构造性理论及其应用》 第65页 科学出版社 2007年(in Chinese, SCIENCEP 2007)]
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References
#Graham W. Griffiths, William E. Shiesser, "Traveling Wave Analysis of Partial Differential Equations", p. 135 ''Academic 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
# George Articolo Partial Differential Equations & Boundary Value Problems with Maple V Academic Press 1998
Nonlinear partial differential equations
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