The solution of general KdV equation in a class of steplike functions.
Khasanov, A.B., Urazboev, G.U. (2004)
Zapiski Nauchnykh Seminarov POMI
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Khasanov, A.B., Urazboev, G.U. (2004)
Zapiski Nauchnykh Seminarov POMI
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Emmanuel Jalade (2004)
Annales de l'I.H.P. Analyse non linéaire
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Anders Melin (1991)
Journées équations aux dérivées partielles
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Gregory Eskin, James Ralston (1993)
Journées équations aux dérivées partielles
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Anna Kazeykina (2013)
Journées Équations aux dérivées partielles
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Novikov-Veselov equation is a (2+1)-dimensional analog of the classic Korteweg-de Vries equation integrable via the inverse scattering translform for the 2-dimensional stationary Schrödinger equation. In this talk we present some recent results on existence and absence of algebraically localized solitons for the Novikov-Veselov equation as well as some results on the large time behavior of the “inverse scattering solutions” for this equation.
M. Jaulent (1972)
Annales de l'I.H.P. Physique théorique
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Yong Ge Tian (2003)
Archivum Mathematicum
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Necessary and sufficient conditions are presented for the commutativity equalities , , , and so on to hold by using rank equalities of matrices. Some related topics are also examined.