Abstract
The main goal of this paper is to study the new solitary wave behaviors of the fractional Jaulent–Miodek hierarchy model (FJMHE) with M-truncated fractional derivative. First, we use the fractional sech-function method (FSFM) to obtain some new solitary wave solutions of the fractional Jaulent–Miodek hierarchy equation. The new method is simple and effective, which provides a more powerful mathematical technique for exploring solitary wave solutions of the fractional evolution equations in mathematical physics. Finally, some 3D and 2D graphs are employed to illustrate the physical properties of the obtained new solitary wave solutions.
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