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FIZIKA A 17 (2008) 4 , 125-134
 
NEW EXACT SOLUTIONS TO THE GENERALIZED NONLINEAR SCHRÖDINGER EQUATION
ZAIYUN ZHANG
School of Mathematical Science and Computing Technology, Central South
University, Changsha 410075, Hunan province, P. R. China, and
Department of Mathematics, Hunan Institute of Science and Technology,
Yueyang 414006, Hunan province, P. R. China
E-mail address: zhangzaiyun1226@126.com
Received 15 July 2008; Accepted 17 December 2008
Online 28 January 2009
Using the modified mapping method and the extended mapping method, we derive
some new exact solutions of the generalized nonlinear Schrödinger equation,
which are linear combinations of two different Jacobi elliptic functions and we
also consider the solutions in the limiting cases.
PACS numbers: 02.30.Jr, 03.65.Ge, 05.45.Yv
UDC 530.145.6, 532.59
Keywords: generalized nonlinear Schrödinger equation, exact solutions,
modified mapping method, extended mapping method
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