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Now dealing with GKP equation with an arbitrary nonlinear coefficient k u), there are some important points to make here: Firstly, one can see from Eqs. (11), (12) that the nonlinear term k u) plays a crucial role for constructing different forms of potential functions and explicit solutions of GKP equation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com