Division theorem combined with the Riccati equation for solving some nonlinear Schrödinger-like equations

Explicit solutions for couple higher order nonlinear Schrödinger equation by (G′G)-expansion method

“…Locking for our result and Lu's results [15] Eq. (55) to (62), we found the same result it means these methods have similar solutions.…”

“…The -expansion method is applied to solve the coupled higher order nonlinear Schrödinger equation successfully obtained the exact solution, and compared the result with first integral method [15] and coupled phaseamplitude formulation [13]. Our method provides not only more general forms of solutions (the hyperbolic, the trigonometric and rational function solutions), but also periodic and solitary wave solutions.…”

“…(17a), (17b), (19a) and (19b) by coupled phase-amplitude formulation the same our solutions. Lu [15] solutions Eq. (55)-(62), also, the same our solutions.…”

“…(14), we can suppose that the solution of (ODE) is of the form. (15) and are constants to be determined later, substituting -expansion method (15) into the left hand side of Eq.…”

“…Bin Lu [15] used first integral method to exact solitary wave solutions for arbitrary nonlinear parameters. Considered by Sasa and Satsuma [16].…”