MULTIPLE KINK-SOLITON, BREATHER WAVE, INTERACTION WAVE, AND THE TRAVELING WAVE SOLUTIONS TO THE FRACTIONAL (2+1)-DIMENSIONAL BOITI–LEON–MANNA–PEMPINELLI EQUATION

Yan-Hong Liang, Kang-Jia Wang and Xiu-Zhen Hou
Additional contact information
Yan-Hong Liang: School of Qilu Transportation, Shandong University, Jinan 250061, P. R. China
Kang-Jia Wang: School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, P. R. China
Xiu-Zhen Hou: Shandong Ding ’an Inspection and Testing Technology, Co., Ltd., Jinan, 250031, P. R. China

FRACTALS (fractals), 2025, vol. 33, issue 09, 1-13

Abstract: In recent years, fractional calculus has been a hot research topic and has received increasing attention. In this work, the fractional (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation with the conformable fractional derivative is explored, and the abundant exact wave solutions are developed. Upon the bilinear form extracted through the Cole–Hopf transformation, the one-, two-, and three-kink soliton solutions are obtained. Based on the two-kink soliton solutions, the breather wave solution is derived by taking the conjugate condition. Moreover, the interaction wave solution of the cos–cosh type is also probed. In the end, the traveling wave solutions are probed via the Bernoulli sub-equation function method. Aided by Maple, the outlines of the extracted exact wave solutions are displayed graphically.

Keywords: Bernoulli Sub-Equation Function Method (BSEFM); Bilinear Form; Conformable Fractional Derivative; Traveling Wave Solutions (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X25500823
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:33:y:2025:i:09:n:s0218348x25500823

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X25500823

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().