AN INSIGHT ON THE (2 + 1)-DIMENSIONAL FRACTAL NONLINEAR BOITI–LEON–MANNA–PEMPINELLI EQUATIONS-Reference-Cited by-同舟云学术

AN INSIGHT ON THE (2 + 1)-DIMENSIONAL FRACTAL NONLINEAR BOITI–LEON–MANNA–PEMPINELLI EQUATIONS

Published:2022-11-17 Issue:09 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

SUN JIANSHE¹²³^ORCID

Affiliation:

1. Institute of Mathematics and Interdisciplinary Science, Jiaozuo Teacher’s College, Jiaozuo 454150, P. R. China

2. School of Mathematics, Jiaozuo Teacher’s College, Jiaozuo 454150, P. R. China

3. School of Mathematics, China University of Mining and Technology, Xuzhou 221116, P. R. China

Abstract

With the aid of a new fractal derivative, the nonlinear Boiti–Leon–Manna–Pempinelli equation (NBLMPE) with nonsmooth boundary is explored. The variational principle of the fractal NBLMPE is successfully established by fractal wave transformation (FWT) and fractal semi-inverse method (SIM) and strong minimum condition of fractal NBLMPE is proven with the fractal Weierstrass theorem. Based on the two-scale transformation method (TSTM) and homogeneous equilibrium method (HBM), soliton-like solutions for the [Formula: see text]-dimensional (SLS [Formula: see text]D) fractal NBLMPE are acquired. A powerful means of coupling HBM and TSTM to solve fractal differential equations is proposed.

Funder

the high-level scientific research project cultivation fund of Jiaozuo Teachers College

the key scientific research projects of Henan higher education institutions

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22501882

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