Abstract

Exact solutions of a generalized nonlinear Schrödinger equationiut + uxx + qc|u|2u + qq|u|4u + iqm|u|x2u + iqu|u|2ux = 0are obtained by transforming the equation to one whose coefficients satisfy a simple algebraic relationship. The transformed equation also yields conservation laws and sufficient conditions for boundedness and blow-up of solutions for the original equation.

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