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Bäcklund transformations and soliton solutions for a $$(3+1)$$ ( 3 + 1 )...

AbstractA \((3+1)\)-dimensional B-type Kadomtsev–Petviashvili equation, which can be applied to describe the propagation of non-linear waves in fluid dynamics, is under investigation in this paper....

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Analytic study on the generalized ( $$3+1$$ 3 + 1 )-dimensional nonlinear...

AbstractStudied in this paper is a (\(3\,+ 1\))-dimensional nonlinear Schrödinger equation with the group velocity dispersion, fiber gain-or-loss and nonlinearity coefficient functions, which describes...

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Bäcklund transformations and soliton solutions for a (2 + 1)-dimensional...

AbstractUnder investigation in this paper is a \((2+1)\)-dimensional Korteweg–de Vries-type equation, which can describe the propagation of nonlinear waves such as the shallow-water waves, surface and...

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