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20062009
most citedInfinitesimal Darboux transformations of the spectral curves of tori in the four-space

5 citations · 6 across the 4 of their papers we have counts for

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Showing 2008Show all

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math-ph2008

Calculation of Topological Charge of Real Finite-Gap sine-Gordon solutions using Theta-functional formulae

P. G. Grinevich, K. V. Kaipa

The most basic characteristic of x-quasiperiodic solutions u(x,t) of the sine-Gordon equation u_{tt}-u_{xx}+\sin u=0 is the topological charge density denoted . The real fi…

math-ph2008★ 1 cited

Spectral conservation laws for periodic nonlinear equations of the Melnikov type

P. G. Grinevich, I. A. Taimanov

We consider the nonlinear equations obtained from soliton equations by adding self-consistent sources. We demonstrate by using as an example the Kadomtsev-Petviashvili equation tha…