Cnoidal and solitary wave solutions of the coupled higher order nonlinear Schrodinger equation in nonlinear optics

By using coupled amplitude-phase formulation, we construct the quartic anharmonic oscillator equation from the coupled higher order nonlinear Schrodinger equation. For arbitrary physical parameter values, we discuss the construction of new cnoidal wave solutions and the exact solutions of both bright (GVD < 0) and dark (GVD < 0) solitary waves. In addition, we investigate the pairs of dark-dark and bright-bright solitary waves. (c) 2005 Elsevier Ltd. All rights reserved.