fbpx
维基百科

双重sinh-Gordon方程

五月 08, 2024

双重sinh-Gordon方程（Double sinh-Gordon equation）是一个非线性偏微分方程。[1][2][3][4][5].

行波解 编辑

  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  

其中  

特解 编辑

  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  

行波图 编辑

   
   
   
   

参考文献 编辑

  1. ^ Andrei D. Polyanin, Valentin F. Zaitsev, HANDBOOK OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS SECOND EDITION CRC Press, A Chapman & Hall Book ISBN 9781420087239
  2. ^ Zeitschrift Für Naturforschung: A journal of physical sciences 2004 p933-937
  3. ^ A. M. WAZWAZ Exact solutions to the double sinh-gordon equation by the tanh method and a variable separated ODE method,Computers & Mathematics with Applications,Volume 50, Issues 10–12, November–December 2005, Pages 1685–1696
  4. ^ Issues in Logic, Operations, and Computational Mathematics and Geometry 2013 p484
  5. ^ Mathematical Reviews - Page 3708 2007

五月 08, 2024
双重sinh, gordon方程, double, sinh, gordon, equation, 是一个非线性偏微分方程, displaystyle, asinh, bsinh, 目录, 行波解, 特解, 行波图, 参考文献行波解, 编辑v, displaystyle, jacobicn, sqrt, nbsp, displaystyle, jacobidn, sqrt, nbsp, displaystyle, jacobinc, sqrt, nbsp, displaystyle, jacobind, sqrt,. 双重sinh Gordon方程 Double sinh Gordon equation 是一个非线性偏微分方程 1 2 3 4 5 u x t a s i n h u b s i n h 2 u displaystyle u xt asinh u bsinh 2u 目录 1 行波解 2 特解 3 行波图 4 参考文献行波解 编辑v C 5 J a c o b i C N C 2 C 3 x a C 5 2 2 b C 5 2 2 b a t C 3 C 5 2 1 2 a C 5 2 a C 5 4 a 2 b 2 b C 5 4 a C 5 2 2 b C 5 2 a C 5 2 a C 5 2 a C 5 4 a 2 b 2 b C 5 4 displaystyle v C 5 JacobiCN C 2 C 3 x a C 5 2 2 b C 5 2 2 b a t C 3 C 5 2 1 sqrt 2 a C 5 2 a C 5 4 a 2 b 2 b C 5 4 a C 5 2 2 b C 5 2 a C 5 2 a C 5 2 a C 5 4 a 2 b 2 b C 5 4 nbsp v C 5 J a c o b i D N C 2 C 3 x C 5 2 a C 5 2 2 b C 5 2 a t C 3 2 C 5 2 1 C 5 4 2 a C 5 2 a C 5 4 a 2 b 2 b C 5 4 a C 5 2 2 b C 5 2 a a C 5 2 2 b C 5 2 a C 5 displaystyle v C 5 JacobiDN C 2 C 3 x C 5 2 a C 5 2 2 b C 5 2 a t C 3 2 C 5 2 1 C 5 4 sqrt 2 a C 5 2 a C 5 4 a 2 b 2 b C 5 4 a C 5 2 2 b C 5 2 a a C 5 2 2 b C 5 2 a C 5 nbsp v C 5 J a c o b i N C C 2 C 3 x a C 5 2 2 b C 5 2 2 b a t C 3 C 5 2 1 2 a C 5 2 a C 5 4 a 2 b 2 b C 5 4 a C 5 2 2 b a 2 a C 5 2 a C 5 4 a 2 b 2 b C 5 4 displaystyle v C 5 JacobiNC C 2 C 3 x a C 5 2 2 b C 5 2 2 b a t C 3 C 5 2 1 sqrt 2 a C 5 2 a C 5 4 a 2 b 2 b C 5 4 a C 5 2 2 b a 2 a C 5 2 a C 5 4 a 2 b 2 b C 5 4 nbsp v C 5 J a c o b i N D C 2 C 3 x a C 5 2 2 b a t C 3 2 C 5 2 1 C 5 4 2 a C 5 2 a C 5 4 a 2 b 2 b C 5 4 a C 5 2 2 b a a C 5 2 2 b a displaystyle v C 5 JacobiND C 2 C 3 x a C 5 2 2 b a t C 3 2 C 5 2 1 C 5 4 sqrt 2 a C 5 2 a C 5 4 a 2 b 2 b C 5 4 a C 5 2 2 b a a C 5 2 2 b a nbsp v a 2 b a c s c C 1 C 2 x 2 b a t C 2 a displaystyle v sqrt a 2 b a csc C 1 C 2 x 2 b a t C 2 a nbsp v a 2 b a c s c C 2 C 3 x 2 b a t C 3 a displaystyle v sqrt a 2 b a csc C 2 C 3 x 2 b a t C 3 a nbsp v a 2 b a s e c C 1 C 2 x 2 b a t C 2 a displaystyle v sqrt a 2 b a sec C 1 C 2 x 2 b a t C 2 a nbsp v a 2 b a s e c h C 1 C 2 x 2 b a t C 2 a displaystyle v sqrt a 2 b a sech C 1 C 2 x 2 b a t C 2 a nbsp v a 2 b a c s c h C 1 C 2 x 2 b a t C 2 a displaystyle v sqrt a 2 b a csch C 1 C 2 x 2 b a t C 2 a nbsp v a 2 b a c o s h C 2 C 3 x a 2 b t C 3 a 2 b displaystyle v sqrt a 2 b a cosh C 2 C 3 x a 2 b t C 3 a 2 b nbsp v a 2 b 2 b a t a n h C 1 C 2 x 1 8 a 2 4 b 2 t C 2 b a 2 b displaystyle v sqrt a 2 b 2 b a tanh C 1 C 2 x 1 8 a 2 4 b 2 t C 2 b a 2 b nbsp 其中 v t a n h 1 2 u displaystyle v tanh 1 2 u nbsp 特解 编辑u x t 2 a r c t a n h 1 5 J a c o b i C N 1 2 1 3 x 3 2307692307692307692 t 1 0555973258234951998 displaystyle u x t 2arctanh 1 5 JacobiCN 1 2 1 3 x 3 2307692307692307692 t 1 0555973258234951998 nbsp u x t 2 a r c t a n h 1 5 J a c o b i D N 1 2 1 3 x 3 6000000000000000000 t 94733093343134184593 displaystyle u x t 2arctanh 1 5 JacobiDN 1 2 1 3 x 3 6000000000000000000 t 94733093343134184593 nbsp u x t 2 a r c t a n h 1 5 J a c o b i N C 1 2 1 3 x 3 2307692307692307692 t 33806170189140663100 I displaystyle u x t 2 arctanh 1 5 JacobiNC 1 2 1 3 x 3 2307692307692307692 t 33806170189140663100 I nbsp u x t 2 a r c t a n h 1 5 J a c o b i N D 1 2 1 3 x 36923076923076923077 t 2 9580398915498080213 I displaystyle u x t 2 arctanh 1 5 JacobiND 1 2 1 3 x 36923076923076923077 t 2 9580398915498080213 I nbsp u x t 2 a r c t a n h 3 c s c 15 1 1 2 x 2 5000000000000000000 t displaystyle u x t 2 arctanh sqrt 3 csc 15 1 1 2 x 2 5000000000000000000 t nbsp u x t 2 a r c t a n h 3 c s c 1 2 1 3 x 2 3076923076923076923 t displaystyle u x t 2 arctanh sqrt 3 csc 1 2 1 3 x 2 3076923076923076923 t nbsp u x t 2 a r c t a n h 3 s e c 15 1 1 2 x 2 5000000000000000000 t displaystyle u x t 2 arctanh sqrt 3 sec 15 1 1 2 x 2 5000000000000000000 t nbsp u x t 2 a r c t a n h 3 s e c h 15 1 1 2 x 2 5000000000000000000 t displaystyle u x t 2 arctanh sqrt 3 sech 15 1 1 2 x 2 5000000000000000000 t nbsp u x t 2 a r c t a n h 3 s e c h 1 2 1 3 x 2 3076923076923076923 t displaystyle u x t 2 arctanh sqrt 3 sech 1 2 1 3 x 2 3076923076923076923 t nbsp u x t 2 a r c t a n h 3 c s c h 15 1 1 2 x 2 5000000000000000000 t displaystyle u x t 2 arctanh sqrt 3 csch 15 1 1 2 x 2 5000000000000000000 t nbsp displaystyle displaystyle displaystyle 行波图 编辑 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 参考文献 编辑 Andrei D Polyanin Valentin F Zaitsev HANDBOOK OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS SECOND EDITION CRC Press A Chapman amp Hall Book ISBN 9781420087239 Zeitschrift Fur Naturforschung A journal of physical sciences 2004 p933 937 A M WAZWAZ Exact solutions to the double sinh gordon equation by the tanh method and a variable separated ODE method Computers amp Mathematics with Applications Volume 50 Issues 10 12 November December 2005 Pages 1685 1696 Issues in Logic Operations and Computational Mathematics and Geometry 2013 p484 Mathematical Reviews Page 3708 2007 取自 https zh wikipedia org w index php title 双重sinh Gordon方程 amp oldid 75581986, 维基百科，wiki，书籍，书籍，图书馆，

文章

，阅读，下载，免费，免费下载，mp3，视频，mp4，3gp， jpg，jpeg，gif，png，图片，音乐，歌曲，电影，书籍，游戏，游戏。