Bright-dark solitons and interaction phenomenon for p-gBKP equation by using bilinear neural network method

RF Zhang, S Bilige, JG Liu, M Li - Physica Scripta, 2020 - iopscience.iop.org
In the present paper, we focus on the bright-dark solitons and interaction behavior
associated with a dimensionally reduced p-gBKP equation. New test functions are …

[HTML][HTML] Multiple lump solutions of the (3+ 1)-dimensional potential Yu–Toda–Sasa–Fukuyama equation

Z Zhao, L He - Applied Mathematics Letters, 2019 - Elsevier
The bilinear method is employed to construct the multiple lump solutions of the (3+ 1)-
dimensional potential Yu–Toda–Sasa–Fukuyama equation in fluid dynamics. The 1-lump …

M-lump, high-order breather solutions and interaction dynamics of a generalized -dimensional nonlinear wave equation

Z Zhao, L He - Nonlinear Dynamics, 2020 - Springer
In this paper, a generalized (2+ 1)(2+ 1)-dimensional nonlinear wave equation is obtained
by extending the generalized (2+ 1)(2+ 1)-dimensional Hirota bilinear equation into a more …

Application of variational principle and fractal complex transformation to (3+ 1)-dimensional fractal potential-YTSF equation

J Lu - Fractals, 2024 - World Scientific
This paper focuses on the numerical investigation of the fractal modification of the (3+ 1)-
dimensional potential-Yu–Toda–Sasa–Fukuyama (YTSF) equation. A variational approach …

Study on dynamical behavior of multiple lump solutions and interaction between solitons and lump wave

Y Tian, JG Liu - Nonlinear Dynamics, 2021 - Springer
In this paper, a new (3+ 1)-dimensional Hirota bilinear equation in fluids is investigated. The
interaction solutions of lump and N-soliton (N> 1 N> 1) are obtained. When N= 2, 3, 4 N= 2 …

Weierstrass elliptic function solutions and their degenerate solutions of (2+ 1)-dimensional potential Yu–Toda–Sasa–Fukuyama equation

D Zhao, Zhaqilao - Nonlinear Dynamics, 2022 - Springer
Weierstrass elliptic function solutions are investigated by applying the traveling wave
transformation and auxiliary equations to a (2+ 1)-dimensional potential Yu–Toda–Sasa …

[PDF][PDF] Three types of periodic solutions of new (3+ 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation via bilinear neural network method

JM Qiao, RF Zhang, RX Yue… - … Methods in the …, 2022 - drive.google.com
The study of solitary wave solutions of nonlinear evolution equations (NLEEs) has always
been a hot topic in nonlinear science which has attracted many researchers in the field of …

[HTML][HTML] Complex physical phenomena of a generalized (3+ 1)-dimensional Yu-Toda-Sasa-Fukuyama equation in a two-layer heterogeneous liquid

M Tantawy, HI Abdel-Gawad - The European Physical Journal Plus, 2022 - Springer
Inhomogeneous liquid may be argued to inhomogeneous density or induced by an external
field. It is a type of the commonly seen fluids. Heterogeneous medium, which stands to, by …

The analytical stochastic solutions for the stochastic potential Yu–Toda–Sasa–Fukuyama equation with conformable derivative using different methods

S Albosaily, EM Elsayed, MD Albalwi, M Alesemi… - Fractal and …, 2023 - mdpi.com
We consider in this study the (3+ 1)-dimensional stochastic potential Yu–Toda–Sasa–
Fukuyama with conformable derivative (SPYTSFE-CD) forced by white noise. For different …

[HTML][HTML] Lump-type solutions and lump solutions for the (2+ 1)-dimensional generalized Bogoyavlensky–Konopelchenko equation

Q Li, T Chaolu, YH Wang - Computers & Mathematics with Applications, 2019 - Elsevier
Abstract In this paper, a (2+ 1)-dimensional generalized Bogoyavlensky–Konopelchenko
equation is investigated. Lump-type solutions and lump solutions are obtained with aid of …