Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations
RF Zhang, MC Li - Nonlinear Dynamics, 2022 - Springer
In this work, bilinear residual network method is proposed to solve nonlinear evolution
equations. The activation function in final layer of deep neural network cannot interact with …
equations. The activation function in final layer of deep neural network cannot interact with …
Generalized lump solutions, classical lump solutions and rogue waves of the (2+ 1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada-like equation
Under investigation in this paper is the (2+ 1)-dimensional Caudrey-Dodd-Gibbon-Kotera-
Sawada-like (CDGKS-like) equation. Based on bilinear neural network method, the …
Sawada-like (CDGKS-like) equation. Based on bilinear neural network method, the …
Fractal solitons, arbitrary function solutions, exact periodic wave and breathers for a nonlinear partial differential equation by using bilinear neural network method
R Zhang, S Bilige, T Chaolu - Journal of Systems Science and Complexity, 2021 - Springer
This paper extends a method, called bilinear neural network method (BNNM), to solve exact
solutions to nonlinear partial differential equation. New, test functions are constructed by …
solutions to nonlinear partial differential equation. New, test functions are constructed by …
Solitons and periodic waves for the (2+ 1)-dimensional generalized Caudrey–Dodd–Gibbon–Kotera–Sawada equation in fluid mechanics
GF Deng, YT Gao, JJ Su, CC Ding, TT Jia - Nonlinear Dynamics, 2020 - Springer
Fluid mechanics has the applications in a wide range of disciplines, such as oceanography,
astrophysics, meteorology, and biomedical engineering. Under investigation in this paper is …
astrophysics, meteorology, and biomedical engineering. Under investigation in this paper is …
Wave propagation of resonance multi-stripes, complexitons, and lump and its variety interaction solutions to the (2+ 1)-dimensional pKP equation
This study deals with the (2+ 1)-dimensional potential Kadomtsev-Petviashvili (pKP)
equation, which is used to describe the dynamics of a wave of small but finite amplitude in …
equation, which is used to describe the dynamics of a wave of small but finite amplitude in …
[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 …
been a hot topic in nonlinear science which has attracted many researchers in the field of …
Soliton molecules and some novel hybrid solutions for the (2+ 1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation
H Ma, Q Cheng, A Deng - Communications in Theoretical Physics, 2020 - iopscience.iop.org
Soliton molecules have become one of the hot topics in recent years. In this article, we
investigate soliton molecules and some novel hybrid solutions for the (2+ 1)-dimensional …
investigate soliton molecules and some novel hybrid solutions for the (2+ 1)-dimensional …
Towering and internal rogue waves induced by two-layer interaction in non-uniform fluid. A 2D non-autonomous gCDGKSE
HI Abdel-Gawad - Nonlinear Dynamics, 2023 - Springer
Abstract A Generalized (2+ 1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada
equation (2D-gCDGKSE) is an integro-differential equation that describes tow-layer fluid …
equation (2D-gCDGKSE) is an integro-differential equation that describes tow-layer fluid …
Singular soliton, shock-wave, breather-stripe soliton, hybrid solutions and numerical simulations for a (2+ 1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada …
SH Liu, B Tian - Nonlinear Dynamics, 2022 - Springer
Abstract In this paper, a (2+ 1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada
system is investigated in fluid mechanics via the symbolic computation. With the help of the …
system is investigated in fluid mechanics via the symbolic computation. With the help of the …
Solitons, Breathers, and Lump Solutions to the (2+ 1)‐Dimensional Generalized Calogero–Bogoyavlenskii–Schiff Equation
H Ma, Q Cheng, A Deng - Complexity, 2021 - Wiley Online Library
In this paper, a generalized (2+ 1)‐dimensional Calogero–Bogoyavlenskii–Schiff equation is
considered. Based on the Hirota bilinear method, three kinds of exact solutions, soliton …
considered. Based on the Hirota bilinear method, three kinds of exact solutions, soliton …