Nonlinear periodic waves solutions of the nonlinear self-dual network equations

作者:Laptev Denis V*; Bogdan Mikhail M
来源:Journal of Mathematical Physics, 2014, 55(4): 042903.
DOI:10.1063/1.4870649

摘要

The new classes of periodic solutions of nonlinear self-dual network equations describing the breather and soliton lattices, expressed in terms of the Jacobi elliptic functions have been obtained. The dependences of the frequencies on energy have been found. Numerical simulations of soliton lattice demonstrate their stability in the ideal lattice and the breather lattice instability in the dissipative lattice. However, the lifetime of such structures in the dissipative lattice can be extended through the application of ac driving terms.

  • 出版日期2014-4