Nondegeneracy of the Traveling Lump Solution to the 2 + 1 Toda Lattice
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چکیده
We consider the 2 + 1 Toda system 1 4 ∆qn = e qn−1−qn − eqn−qn+1 in R, n ∈ Z. It has a traveling wave type solution {Qn} satisfying Qn+1(x, y) = Qn(x + 1 2 √ 2 , y), and is explicitly given by Qn (x, y) = ln 1 4 + ( n− 1 + 2 √ 2x )2 + 4y2 1 4 + ( n+ 2 √ 2x )2 + 4y2 . In this paper we prove that {Qn} is nondegenerate.
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تاریخ انتشار 2017