International Journal of Theoretical Physics, Journal Year: 2023, Volume and Issue: 62(12)
Published: Dec. 19, 2023
Language: Английский
Partial Differential Equations in Applied Mathematics, Journal Year: 2024, Volume and Issue: 10, P. 100682 - 100682
Published: April 20, 2024
Benney–Luke equation, the estimation of water wave propagation on water's surface, is significantly important in studying tension waves physics. This paper focuses Bilinear Neural Network method (BNNM) to find solutions equation. Using Hirota bilinear operator, equation transformed into a expression and establishes models neurons. The construction straightforward, well-organized, effective for finding various exact analytic Benny–Luke consisting one-soliton solutions, two-soliton hyperbolic mixed-soliton mixed-multi by choosing appropriate test functions. are rigorously depicted three dimensions observe mutable behavior.
Language: Английский
Citations
11
Physica Scripta, Journal Year: 2024, Volume and Issue: 99(4), P. 045233 - 045233
Published: March 18, 2024
Abstract In this study, the stochastic fractional Fokas system (SFFS) with M-truncated derivatives is considered. A certain wave transformation applied to convert a one-dimensional conservative Hamiltonian system. Based on qualitative theory of dynamical systems, bifurcation and phase portrait are examined. Utilizing conserved quantity, we construct some new traveling solutions for SFFS. Due fact that used explain nonlinear pulse transmission in mono-mode optical fibers, given may be analyze an extensive variety crucial physical phenomena. To clarify effects derivative Wiener process, dynamic behaviors various obtained depicted 3-D 2-D curves.
Language: Английский
Citations
10
Physics of Fluids, Journal Year: 2024, Volume and Issue: 36(4)
Published: April 1, 2024
In this paper, we study the breathers in framework of sixth-order nonlinear Schrödinger equation by using Darboux transformation. The primary objective research is twofold. First, consider superposition on plane wave background. Based concept that rogue waves are formed from colliding Akhmediev breathers, obtain sequences and a first-order breather with central second-order peak. Second, formation periodic difficulty solving Lax pair overcome, successfully construct cn- dn-periodic
Language: Английский
Citations
6
International Journal of Applied and Computational Mathematics, Journal Year: 2025, Volume and Issue: 11(2)
Published: Feb. 22, 2025
Language: Английский
Citations
0
Mathematics, Journal Year: 2025, Volume and Issue: 13(5), P. 862 - 862
Published: March 5, 2025
In this paper, we propose a new finite-difference method for nonconvex absolute value equations. The nonsmooth unconstrained optimization problem equivalent to the equations is considered. technique considered compose linear programming subproblems obtaining search direction. algorithm avoids computation of gradients and Hessian matrices problems. parameter correction ensure monotonic descent objective function. convergence analyzed, numerical experiments are reported, indicating effectiveness by comparison against state-of-the-art
Language: Английский
Citations
0
Chaos Solitons & Fractals, Journal Year: 2025, Volume and Issue: 194, P. 116232 - 116232
Published: March 8, 2025
Language: Английский
Citations
0
High Energy Density Physics, Journal Year: 2025, Volume and Issue: unknown, P. 101186 - 101186
Published: March 1, 2025
Language: Английский
Citations
0
Modern Physics Letters B, Journal Year: 2025, Volume and Issue: unknown
Published: April 26, 2025
The study of nonlinear fractional-order partial differential equations (PDEs) and its numerous analyses soliton solutions have been helpful in the development engineering physical science. fractional PDEs play a significant character sectors electromagnetic fields, quantum fluctuations, black hole transmission, image processing, optics, interactions, so on. For time-fractional Benjamin–Ono equation, several pioneering more general closed-form solitary as well traveling wave obtained new auxiliary equation technique by using truncated M-fractional derivative, which describes propagation internal waves deep water, like waves, shock solitons, conservation laws, marine engineering, mediational instability, rogue many. Several widely recognized waveforms, including multiple periodic, kink, flat anti-kink, soliton, other sorts solutions, are illustrated with use computational software draw 3D contour plots definite free parametric values. These were checked found to be correct software. suggested scheme establishes broadly applicable reliable, efficient, trustworthy, productive, effective, appealing from program.
Language: Английский
Citations
0
Chinese Journal of Physics, Journal Year: 2023, Volume and Issue: 86, P. 508 - 514
Published: Nov. 10, 2023
Language: Английский
Citations
8
Physica Scripta, Journal Year: 2024, Volume and Issue: 99(4), P. 045224 - 045224
Published: Feb. 29, 2024
Abstract In this paper, a new general bilinear Bäcklund transformation and Lax pair for the (2+1)-dimensional shallow water wave equation are given in terms of binary Bell polynomials. Based on along with introducing an arbitrary function, multi-kink soliton, line breather, multi-line rogue solutions non-flat constant background plane derived. Further, we found that dynamic pattern breather periodic waves similar to two-periodic obtained through multi-dimensional Riemann theta function. Also, generation mechanism smooth conditions presented long-wave limit method. Additionally, family rational solutions, consisting solitons, derived, which have never been reported before. Furthermore, present work can be directly applied other nonlinear equations.
Language: Английский
Citations
3