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.
Hioe, Foek T. (1998). "Solitary waves for two and three coupled nonlinear Schrödinger equations." Physical Review E 58.5, 6700-6707.
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