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 …

Generalized lump solutions, classical lump solutions and rogue waves of the (2+ 1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada-like equation

RF Zhang, MC Li, M Albishari, FC Zheng… - Applied Mathematics and …, 2021 - Elsevier
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 …

[HTML][HTML] Novel multiple soliton solutions for some nonlinear PDEs via multiple Exp-function method

KS Nisar, OA Ilhan, ST Abdulazeez, J Manafian… - Results in Physics, 2021 - Elsevier
In this work, the analytic solutions for different types of nonlinear partial differential equations
are obtained using the multiple Exp-function method. We consider the stated method for 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 …

Lie group analysis with the optimal system, generalized invariant solutions, and an enormous variety of different wave profiles for the higher-dimensional modified …

S Kumar, WX Ma, SK Dhiman, A Chauhan - The European Physical …, 2023 - Springer
In this work, the method of the Lie group of invariance is used to explore a (2+ 1)-
dimensional modified dispersive water wave (mDWW) system of equations. This system is …

Optical solitons for Biswas–Milovic equation by new extended auxiliary equation method

STR Rizvi, K Ali, M Ahmad - Optik, 2020 - Elsevier
Biswas–Milovic equation is used to narrate the nonlinear dynamics of optical solitons in
nonlinear optics. With the aid of new extended auxiliary method, we find Jacobi elliptic …

Multi-wave, breather and interaction solutions to (3+ 1) dimensional Vakhnenko–Parkes equation arising at propagation of high-frequency waves in a relaxing …

Y Sağlam Özkan, AR Seadawy… - Journal of Taibah …, 2021 - Taylor & Francis
In this study, based on the Hirota bilinear form, the exact analytic solutions of the (3+ 1)
dimensional Vakhnenko–Parkes equation with various physical properties were constructed …

[HTML][HTML] N-lump and interaction solutions of localized waves to the (2+ 1)-dimensional variable-coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada equation

J Manafian, M Lakestani - Journal of Geometry and Physics, 2020 - Elsevier
The present article deals with M-lump solution and N-soliton solution of the (2+ 1)-
dimensional variable-coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada equation by …

[HTML][HTML] New analytical wave structures for the (3+ 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq models and their applications

D Lu, KU Tariq, MS Osman, D Baleanu, M Younis… - Results in Physics, 2019 - Elsevier
Different types of soliton wave solutions for the (3+ 1)-dimensional Kadomtsev-Petviashvili
and the generalized Boussinesq equations are investigated via the solitary wave ansatz …

Interaction characteristics of the Riemann wave propagation in the (2+ 1)-dimensional generalized breaking soliton system

KA Muhamad, T Tanriverdi, AA Mahmud… - … Journal of Computer …, 2023 - Taylor & Francis
In this study, the nonlinear (2+ 1)-dimensional generalized breaking soliton system has
been studied by introducing an appropriate travelling wave transformation. The model under …