Universal fractal structures in the weak interaction of solitary waves in generalized nonlinear Schrödinger equations
Universal fractal structures in the weak interaction of solitary waves in generalized nonlinear Schrödinger equations
Weak interactions of solitary waves in the generalized nonlinear Schrödinger equations are studied. It is first shown that these interactions exhibit similar fractal dependence on initial conditions for different nonlinearities. Then by using the Karpman-Solov'ev method, a universal system of dynamical equations is derived for the velocities, amplitudes, positions, and …