pa := (-1.*tanh(x)-82360.*tanh(x)^13+73.*tanh(x)^3-1195.*tanh(x)^5+8233.*tanh(x)^7-29990.*tanh(x)^9+63510.*tanh(x)^15-26980.*tanh(x)^17+4862.*tanh(x)^19+63850.*tanh(x)^11)*t^9+(14650.*tanh(x)^13-16170.*tanh(x)^11+tanh(x)+1430.*tanh(x)^17+688.8*tanh(x)^5+10230.*tanh(x)^9-7102.*tanh(x)^15-54.67*tanh(x)^3-3672.*tanh(x)^7)*t^8+(-373.8*tanh(x)^5+1491.*tanh(x)^7-1.*tanh(x)+39.67*tanh(x)^3+3333.*tanh(x)^11+429.*tanh(x)^15-3036.*tanh(x)^9-1881.*tanh(x)^13)*t^7+(132.*tanh(x)^13+187.8*tanh(x)^5-502.*tanh(x)^11+743.5*tanh(x)^9-27.67*tanh(x)^3+tanh(x)-534.6*tanh(x)^7)*t^6+(-135.3*tanh(x)^9+161.1*tanh(x)^7-1.*tanh(x)+42.*tanh(x)^11-85.13*tanh(x)^5+18.33*tanh(x)^3)*t^5+(-37.*tanh(x)^7+33.33*tanh(x)^5+14.*tanh(x)^9-11.33*tanh(x)^3+tanh(x))*t^4+(5.*tanh(x)^7-10.33*tanh(x)^5+6.333*tanh(x)^3-1.*tanh(x))*t^3+(-3.*tanh(x)^3+tanh(x)+2.*tanh(x)^5)*t^2+(-1.*tanh(x)+tanh(x)^3)*t+tanh(x)
参考文献
^Graham W. Griffiths William E.Shiesser Traveling Wave Analysis of Partial Differential p123-133 Equations Academy Press
^Inna Shingareve Carlos Lizarraga Celaya，Solving Nonlinear Partial Differential Equations with Maple and Mathematica p230-236, Springer
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
七月 08, 2023
伯格斯, 费希尔, 方程, 伯格斯, 費希爾, 方程, burgers, fisher, 非线性偏微分方程有如下形式, burgers, fisher, maple, burgers, fisher, maple, frac, partial, partial, frac, partial, partial, frac, partial, partial, 此偏微分方程的解为, displaystyle, frac, sqrt, tanh, frac, frac, displaystyle, 阿多米安近似解, 编辑. 伯格斯 費希爾 方程 Burgers Fisher 非线性偏微分方程有如下形式 1 Burgers Fisher PDE 3d Maple 图 Burgers Fisher PDE Maple 图 u t u 2 u x 2 u u 2 u 1 u 2 frac partial u partial t u 2 frac partial u partial x frac partial 2 u partial u 2 u 1 u 2 此偏微分方程的解为 u x t 1 2 1 t a n h x 3 10 t 9 displaystyle u x t frac 1 2 sqrt 1 tanh frac x 3 frac 10t 9 g 5 u x t C 6 e x p C 1 1 3 x 2 3 t 3 displaystyle g 5 u x t C 6 exp C 1 1 3 x 2 3 t 3 阿多米安近似解 编辑 利用阿多米安分解法可求得Burgers Fisher方程的在柯西问题 u 0 sin x 初始条件下的级数展开近似解 2 pa 1 tanh x 82360 tanh x 13 73 tanh x 3 1195 tanh x 5 8233 tanh x 7 29990 tanh x 9 63510 tanh x 15 26980 tanh x 17 4862 tanh x 19 63850 tanh x 11 t 9 14650 tanh x 13 16170 tanh x 11 tanh x 1430 tanh x 17 688 8 tanh x 5 10230 tanh x 9 7102 tanh x 15 54 67 tanh x 3 3672 tanh x 7 t 8 373 8 tanh x 5 1491 tanh x 7 1 tanh x 39 67 tanh x 3 3333 tanh x 11 429 tanh x 15 3036 tanh x 9 1881 tanh x 13 t 7 132 tanh x 13 187 8 tanh x 5 502 tanh x 11 743 5 tanh x 9 27 67 tanh x 3 tanh x 534 6 tanh x 7 t 6 135 3 tanh x 9 161 1 tanh x 7 1 tanh x 42 tanh x 11 85 13 tanh x 5 18 33 tanh x 3 t 5 37 tanh x 7 33 33 tanh x 5 14 tanh x 9 11 33 tanh x 3 tanh x t 4 5 tanh x 7 10 33 tanh x 5 6 333 tanh x 3 1 tanh x t 3 3 tanh x 3 tanh x 2 tanh x 5 t 2 1 tanh x tanh x 3 t tanh x 参考文献 编辑 Graham W Griffiths William E Shiesser Traveling Wave Analysis of Partial Differential p123 133 Equations Academy Press Inna Shingareve Carlos Lizarraga Celaya Solving Nonlinear Partial Differential Equations with Maple and Mathematica p230 236 Springer 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 伯格斯 费希尔 方程 amp oldid 44363081, 维基百科，wiki，书籍，书籍，图书馆，
