[One- and two-soliton solutions for DNA]

One- and two-soliton solutions of the nonlinear differential equation imitating rotational oscillations of DNA bases were found. It was shown that the equation is analogous to the simple sine-Gordon equation, which is solved by the inverse scattering method using the L-A pair. One- and two-soliton solutions found by the method were presented in terms of DNA parameters. The profiles of nonlinear one-soliton waves were calculated for two cases: for a homogeneous double polynucleotide chain consisting of A-T base pairs and for a homogeneous double polynucleotide chain consisting of G-C base pairs.