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
一月 14, 2024
玻恩, 英费尔德方程, born, infeld, equation, 是马克斯, 玻恩和利奥波德, 英费尔德创建的非线性偏微分方程, displaystyle, displaystyle, 行波解, 编辑有许多行波解, displaystyle, atan, sqrt, sqrt, nbsp, displaystyle, atan, sqrt, sqrt, nbsp, displaystyle, atan, sqrt, sqrt, nbsp, displaystyle, atan, sqrt, sqrt, nbs. 玻恩 英费尔德方程 Born Infeld equation 是马克斯 玻恩和利奥波德 英费尔德创建的非线性偏微分方程 1 1 u t 2 u x x 2 u x u t u x t 1 u x 2 u t t 0 displaystyle displaystyle 1 u t 2 u xx 2u x u t u xt 1 u x 2 u tt 0 行波解 编辑玻恩 英费尔德方程有许多行波解 2 u 1 2 a t a n a 0 b 1 a 0 b 1 t a n 1 2 a 0 2 b 1 2 h 1 2 p displaystyle u 1 2 atan sqrt a0 b1 a0 b1 tan 1 2 sqrt a0 2 b1 2 eta 1 2 pi nbsp u 2 2 a t a n a 0 b 1 a 0 b 1 c o t 1 2 a 0 2 b 1 2 h 1 2 p displaystyle u 2 2 atan sqrt a0 b1 a0 b1 cot 1 2 sqrt a0 2 b1 2 eta 1 2 pi nbsp u 3 2 a t a n a 1 2 b 1 2 t a n 1 2 a 1 2 b 1 2 h a 1 b 1 a 1 displaystyle u 3 2 atan sqrt a1 2 b1 2 tan 1 2 sqrt a1 2 b1 2 eta a1 b1 a1 nbsp u 4 2 a t a n a 1 2 b 1 2 c o t 1 2 a 1 2 b 1 2 h a 1 b 1 a 1 displaystyle u 4 2 atan sqrt a1 2 b1 2 cot 1 2 sqrt a1 2 b1 2 eta a1 b1 a1 nbsp u 5 2 a t a n a 1 2 b 1 2 c o t h a 1 2 b 1 2 e t a c s c a 1 2 b 1 2 e t a a 1 b 1 a 1 displaystyle u 5 2 atan sqrt a1 2 b1 2 coth sqrt a1 2 b1 2 eta csc sqrt a1 2 b1 2 eta a1 b1 a1 nbsp u 6 2 a t a n a 1 2 b 1 2 c o s h a 1 2 b 1 2 h 1 a 1 s i n h a 1 2 b 1 2 h b 1 a 1 displaystyle u 6 2 atan sqrt a1 2 b1 2 cosh sqrt a1 2 b1 2 eta 1 a1 sinh sqrt a1 2 b1 2 eta b1 a1 nbsp u 7 2 a t a n a 1 2 b 1 2 s i n h a 1 2 b 1 2 h a 1 c o s h a 1 2 b 1 2 h 1 b 1 a 1 displaystyle u 7 2 atan sqrt a1 2 b1 2 sinh sqrt a1 2 b1 2 eta a1 cosh sqrt a1 2 b1 2 eta 1 b1 a1 nbsp u 8 2 a t a n a 0 b 1 b 1 a 0 c o t b 1 2 a 0 2 h s e c h b 1 2 a 0 2 h 1 2 p displaystyle u 8 2 atan sqrt a0 b1 b1 a0 cot sqrt b1 2 a0 2 eta sec h sqrt b1 2 a0 2 eta 1 2 pi nbsp u 9 2 a t a n a 0 b 1 b 1 a 0 s i n h b 1 2 a 0 2 h c o s h b 1 2 a 0 2 e t a 1 displaystyle u 9 2 atan sqrt a0 b1 b1 a0 sinh sqrt b1 2 a0 2 eta cosh sqrt b1 2 a0 2 eta 1 nbsp 2 a t a n a 0 b 1 b 1 a 0 c o s h b 1 2 a 0 2 h 1 s i n h b 1 2 a 0 2 h displaystyle 2 atan sqrt a0 b1 b1 a0 cosh sqrt b1 2 a0 2 eta 1 sinh sqrt b1 2 a0 2 eta nbsp nbsp Born Infeld equation animation1 nbsp Born Infeld equation animation3 nbsp Born Infeld equation animation4 nbsp Born Infeld equation animation5 nbsp Born Infeld equation animation6 nbsp Born Infeld equation animation7 nbsp Born Infeld equation animation8 nbsp Born Infeld equation animation9 nbsp Born Infeld equation animation10参考文献 编辑 D B Fairlie and J A Mulvey Integrable Generalisations of the 2 dimensional Born Infeld Equation University of Durham 1993 Yuanxi Xie and Jiashi Tang New Explicit Exact Solutions of the Born Infeld Equation 2005 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 Lizarraga 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 amp Boundary Value Problems with Maple V Academic Press 1998 ISBN 9780120644759 取自 https zh wikipedia org w index php title 玻恩 英费尔德方程 amp oldid 44363254, 维基百科，wiki，书籍，书籍，图书馆，
