Physics Commons^™

Solitary Waves For Two And Three Coupled Nonlinear Schrödinger Equations, Foek T. Hioe

Physics Faculty/Staff Publications

We present solitary-wave solutions of two and three coupled nonlinear Schrödinger equations when the waves propagate in the normal and anomalous group-velocity dispersion regions. A wave of the form sech² £-2/3 is found, which, together with two known waves of the forms tanh £ sech £ and sech² £, are shown to form a new generation of complementary waves. The implication of this wave set and its applications to coupled solitary-wave propagation is discussed.