The aim of the present study is to obtain different types of hyperbolic type solutions of the (2+1)-Ablowitz-Kaup-Newell-Segur (AKNS) equation. In order to construction exact solutions of AKNS equation, (1/
Keywords
- (1/′)-expansion method
- hyperbolic traveling wave solution
- singular soliton wave
- analytical solution
MSC 2010
- 35-XX
- 35Qxx
Different studies can be seen on NPDEs in various disciplines such as physical events, applied sciences, natural events and engineering. Scientists have used many methods to find analytical solutions of NPDEs. Some of these methods are new sub equation method [1, 2], (1/
Many analytical methods have been added to the literature to find the exact solution of the NPDEs. We know that each method produces different types of solutions. For example, sub equation method produces dark solitons, Hirota bilinear form lump solitons. In this study, we aim to produce hyperbolic type wave solutions using the (1/
Consider form of NPDEs,
Let's consider the Eq. (1). By applying the transmutation
Fig. 1
3D, 2D and contour graphs respectively for

Fig. 2
3D, 2D and contour graphs respectively for

In this study, analytical solutions of the AKNS equation were obtained via the (1/
Fig. 1

Fig. 2

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