M. Tajiri et Y. Watanabe, BREATHER SOLUTIONS TO THE FOCUSING NONLINEAR SCHRODINGER-EQUATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(3), 1998, pp. 3510-3519
The N-breather solution to the focusing nonlinear Schrodinger equation
is presented. It is shown that the breather is linearly unstable, but
the unstable modes are overstabilized and do not destroy the structur
e of the breather. It is also demonstrated that the breather solution
can be constructed as an imbricate series of rational growing-and-deca
ying modes.