The interference wave and the bright and dark soliton for two integro-differential equation by using BNNM
RF Zhang, MC Li, A Cherraf, SR Vadyala - Nonlinear Dynamics, 2023 - Springer
Interference wave is an important research target in the field of navigation, electromagnetic
and earth science. In this work, the nonlinear property of neural network is used to study the …
and earth science. In this work, the nonlinear property of neural network is used to study the …
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 …
Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method
RF Zhang, MC Li, JY Gan, Q Li, ZZ Lan - Chaos, Solitons & Fractals, 2022 - Elsevier
In this work, some new test functions are constructed by setting generalized activation
functions in different artificial network models. Bilinear neural network method is introduced …
functions in different artificial network models. Bilinear neural network method is introduced …
Painlevé analysis, auto-Bäcklund transformation and analytic solutions of a (21)-dimensional generalized Burgers system with the variable coefficients in a fluid
TY Zhou, B Tian, YQ Chen, Y Shen - Nonlinear Dynamics, 2022 - Springer
Burgers-type equations are used to describe certain phenomena in gas dynamics, traffic
flow, plasma astrophysics and ocean dynamics. In this paper, a (2+ 1)-dimensional …
flow, plasma astrophysics and ocean dynamics. In this paper, a (2+ 1)-dimensional …
Explicit soliton structure formation for the riemann wave equation and a sensitive demonstration
The motive of the study was to explore the nonlinear Riemann wave equation, which
describes the tsunami and tidal waves in the sea and homogeneous and stationary media …
describes the tsunami and tidal waves in the sea and homogeneous and stationary media …
New optical solitons based on the perturbed Chen-Lee-Liu model through Jacobi elliptic function method
In this study, we investigate the perturbed Chen-Lee-Liu equation that represents the
propagation of an optical pulse in plasma and optical fiber. The Jacobi elliptic function …
propagation of an optical pulse in plasma and optical fiber. The Jacobi elliptic function …
The integrable Boussinesq equation and it's breather, lump and soliton solutions
The fourth-order nonlinear Boussinesq water wave equation, which explains the
propagation of long waves in shallow water, is explored in this article. We used the Lie …
propagation of long waves in shallow water, is explored in this article. We used the Lie …
The modulation instability analysis and generalized fractional propagating patterns of the Peyrard–Bishop DNA dynamical equation
This research examines the fractional Peyrard–Bishop DNA dynamical governing system,
which displays the proliferation of optical pulses in field of plasma and the optical fibre. The …
which displays the proliferation of optical pulses in field of plasma and the optical fibre. The …
Dark wave, rogue wave and perturbation solutions of Ivancevic option pricing model
YQ Chen, YH Tang, J Manafian, H Rezazadeh… - Nonlinear …, 2021 - Springer
Under investigation in this paper is the Ivancevic option pricing model. Based on trial
function method, rogue wave and dark wave solutions are constructed. By means of …
function method, rogue wave and dark wave solutions are constructed. By means of …
Analyzing multi-peak and lump solutions of the variable-coefficient Boiti–Leon–Manna–Pempinelli equation: a comparative study of the Lie classical method and …
S Kumar, M Niwas - Nonlinear Dynamics, 2023 - Springer
This research article investigates the (2+ 1)-dimensional variable-coefficient Boiti–Leon–
Manna–Pempinelli equation using the Lie classical method and the unified method. The Lie …
Manna–Pempinelli equation using the Lie classical method and the unified method. The Lie …