Attractor for the Non-Autonomous Long Wave-Short Wave Resonance Interaction Equation With Damping

Statistical solutions and Kolmogorov entropy for the lattice long-wave–short-wave resonance equations in weighted space

“…Equations (1.4)-(1.5) have been extensively studied. For instance, the well-posedness of the Cauchy problem was investigated in [4,17]; the orbital stability of solitary waves was investigated in [13]; the existence of global attractors and random attractors was proved in [18,19]. The purpose of this article is to investigate the probability of solutions to the lattice long-waveshort-wave resonance equations (1.1)-(1.2) in weighted space.…”