Abstract
PACS numbers02.30.Jr, 05.45.Yv, 02.30.Ik
Highlights
Nonlinear evolution equations play a significant role in various scientific and engineering fields, such as, optical fibers, solid state physics, fluid mechanics, plasma physics, chemical kinematics, chemical physics geochemistry etc
Among non-integrable nonlinear differential equations there is a wide class of equations that referred to as the partially integrable, because these equations become integrable for some values of their parameters
Remark 3: Result given in (62) is alike to the result given in (52). From these remarks we have the assessments: The exact solutions of the breaking soliton equation obtained by means of the extended tanh-function method can be found by the further improved (G'/G)-expansion method and in appendage some new solutions are obtained
Summary
Nonlinear evolution equations play a significant role in various scientific and engineering fields, such as, optical fibers, solid state physics, fluid mechanics, plasma physics, chemical kinematics, chemical physics geochemistry etc. For integrable nonlinear differential equations, the inverse scattering transform method (Ablowitz & Clarkson 1991), the Hirota method (Hirota 1971), the truncated Painleve expansion method (Zhang et al 2002), the Backlund transform method (Miura 1978; Rogers & Shadwick 1982) and the Exp-function method (Naher et al 2012; He & Wu 2006; Naher et al 2011; Akbar & Ali 2011; Akbar & Ali 2012) are used for searching the exact solutions
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