Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2002-05-24
Nonlinear Sciences
Exactly Solvable and Integrable Systems
Latex, 12 pages
Scientific paper
The two-dimensional generalization of the Polyelectolite model of DNA is proposed. It is reduced to the boundary problem for nonlinear completely integrable equation $\sh$-Gordon. In the linearisible version the exact solution is constructed and its asymptotic is found. The soliton solutions of nonlinear equation are calculated that allowed tells about the possibility of the structural phase transition in the considered system (DNA+polyelectrolite) on the temperature.
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