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NEW SOLITARY WAVE SOLUTIONS FOR THE FRACTIONAL JAULENT–MIODEK HIERARCHY MODEL

School of Mathematics and Information Science, Henan Polytechnic University, 454000 Jiaozuo, P. R. China

State and Local Joint Engineering Laboratory for Gas, Drainage and Ground Control of Deep Mines, Henan Polytechnic University, 454000 Jiaozuo, P. R. China

E-mail Address: chunfuwei123@163.com

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https://doi.org/10.1142/S0218348X23500603Cited by:16 (Source: Crossref)

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.

Keywords:

References

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