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(1)
|
其中
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(2)
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(Krichever 和 Novikov 1980；Novikov 1999)。Zwillinger（1997，第 131 页）以及 Calogero 和 Degasperis（1982，第 54 页）将该方程给出为
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(3)
|
修改后的卡多姆采夫-皮特维亚什维利方程由下式给出
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(4)
|
(Clarkson 1986；Zwillinger 1997，第 133 页)。
卡多姆采夫-皮特维亚什维利方程
另请参阅
卡多姆采夫-皮特维亚什维利-伯格斯方程、Korteweg-de Vries 方程、克里切韦尔-诺维科夫方程使用 Wolfram|Alpha 探索
参考文献
Baker, H. F. Abelian Functions: Abel's Theorem and the Allied Theory, Including the Theory of the Theta Functions. New York: Cambridge University Press, p. xix, 1995.Calogero, F. and Degasperis, A. Spectral Transform and Solitons: Tools to Solve and Investigate Nonlinear Evolution Equations. New York: North-Holland, 1982.Clarkson, P. A. "The Painlevé Property, a Modified Boussinesq Equation and a Modified Kadomtsev-Petviashvili Equation." Physica D 19, 447-450, 1986.Krichever, I. M. and Novikov, S. P. "Holomorphic Bundles over Algebraic Curves, and Nonlinear Equations." Russ. Math. Surv. 35, 53-80, 1980. English translation of Uspekhi Mat. Nauk 35, 47-68, 1980.Novikov, D. P. "Algebraic-Geometric Solutions of the Krichever-Novikov Equation." Theoret. Math. Phys. 121, 1567-15773, 1999.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 131, 1997.在 Wolfram|Alpha 中被引用
卡多姆采夫-皮特维亚什维利方程引用为
Weisstein, Eric W. "卡多姆采夫-皮特维亚什维利方程。" 来自 MathWorld--Wolfram Web 资源。 https://mathworld.net.cn/Kadomtsev-PetviashviliEquation.html