广田-萨摩方程(Hirota Satsuma equation)是一个三元非线性偏微分方程组:[1]
![{\displaystyle u_{t}-0.5*u_{xxx}+3uu_{x}-3(vw)_{x}=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1dbbc309c70eac83e195c941f0e5528c353a8f65)
![{\displaystyle v_{t}+v_{xxx}-3uv_{x}=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0ea87e6e5035b25f4500022094484d4b5ebf0495)
![{\displaystyle w_{t}+w_{xxx}-3uw_{x}=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2bdb8092a50fdf6633ce4e0b48c0f0f987103634)
解析解
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![{\displaystyle }](https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
![{\displaystyle }](https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
![{\displaystyle }](https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
行波图
Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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Hirota Satsuma equations traveling wave plot
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参考文献
- ^ 李志斌编著 《非线性数学物理方程的行波解》 140页 科学出版社 2008
- *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