Results 81 to 90 of about 2,478 (193)

The simplified Hirota’s method for studying three extended higher-order KdV-type equations

Journal of Ocean Engineering and Science, 2016
In this work we study three extended higher-order KdV-type equations. The Lax-type equation, the Sawada–Kotera-type equation and the CDG-type equation are derived from the extended KdV equation.
Abdul-Majid Wazwaz
doaj   +1 more source

Direct Observations of Large‐Scale Wave Structure and Post‐Sunset Rise of the Ionosphere in the Generation of Equatorial Spread F

Geophysical Research Letters, Volume 53, Issue 13, 16 July 2026.
Abstract Large‐scale wave structure (LSWS) and the post‐sunset rise (PSSR) are two key factors in the generation of equatorial spread F (ESF). In this study, we reported continuous and direct observations of LSWS and PSSR and their effects on seeding ESF by Sanya incoherent scatter radar (SYISR) and ionosonde in September–October 2024.
Qi Jiang, Jiuhou Lei, Xinan Yue, Fuqing Huang, Rong Xia, Tong Dang, Xiaoli Luan   +6 more
wiley   +1 more source

The Short and Long Timescale Responses of the Inner Magnetospheric EMIC Waves to the Solar Wind Dynamic Pressure

Geophysical Research Letters, Volume 53, Issue 13, 16 July 2026.
Abstract The causal relationships between solar wind dynamic pressure and Electromagnetic Ion‐Cyclotron (EMIC) H+ ${\mathrm{H}}^{+}$, He+ ${\mathrm{H}\mathrm{e}}^{+}$, O+ ${\mathrm{O}}^{+}$ waves at L=3−6 $L=3-6$ are investigated with transfer entropy at short (<15 ${< } 15$ min) and long (>45 ${ >} 45$ min) timescales. The short timescale responses of
Simon Wing, Jay R. Johnson, Anthony Saikin, Alexander Y. Drozdov, Derek Feitosa   +4 more
wiley   +1 more source

The String Equation and Solitons [PDF]

, 1996
9 pages, Based on lectures delivered at the Erice Chalonge School, `String Gravity and Physics at the Planck Scale', 8-19 September ...
openaire   +2 more sources

Geometrical representation and Hirota direct approach for multiple soliton solutions of nonlinear M-coupled fractional equations

Mathematical and Computer Modelling of Dynamical Systems
This paper introduces a novel analytical framework for deriving multiple soliton and singular soliton solutions to M-coupled fractional evolution equations.
Abaker A. Hassaballa, Mehmet Yavuz, Emad A.-B. Abdel-Salam, Gassan A.M.O. Farah, Ibtisam Daqqa   +4 more
doaj   +1 more source

Dynamical behavior of kink solitons in nonlinear Chaffee-Infante equations with chaotic and bifurcation analysis

Ain Shams Engineering Journal
The Chaffee-Infante Equations (CIEs) are modified types of reaction-diffusion equations which are frequently employed in research of phase transitions, pattern generation and nonlinear wave dynamics.
Zainab Alsheekhhussain, Tariq S. Alshammari, Yaouba Amadou, Saleh Alshammari, Mohammad Alshammari, M. Mossa Al-sawalha   +5 more
doaj   +1 more source

Further quality analytical investigation on soliton solutions of some nonlinear PDEs with analyses: Bifurcation, sensitivity, and chaotic phenomena

Alexandria Engineering Journal
In this investigation, the analytical behavior of two prominent nonlinear wave equations, namely the doubly dispersive equation (DDE) and the Ablowitz-Kaup-Newell-Segur equation (AKNSE), have been scrutinized. Bifurcation analysis, sensitivity as well as
M. Akher Chowdhury, M. Mamun Miah, Md Mamunur Rasid, Sadique Rehman, J.R.M. Borhan, Abdul-Majid Wazwaz, Mohammad Kanan   +6 more
doaj   +1 more source

Chaotic Phenomena, Sensitivity Analysis, Bifurcation Analysis, and New Abundant Solitary Wave Structures of The Two Nonlinear Dynamical Models in Industrial Optimization

Mathematics
In this research, we discussed the different chaotic phenomena, sensitivity analysis, and bifurcation analysis of the planer dynamical system by considering the Galilean transformation to the Lonngren wave equation (LWE) and the (2 + 1)-dimensional ...
M. Mamun Miah, Faisal Alsharif, Md. Ashik Iqbal, J. R. M. Borhan, Mohammad Kanan   +4 more
doaj   +1 more source

Time-dependent defects in integrable soliton equations. [PDF]

Proc Math Phys Eng Sci, 2020
Xia B, Zhou R.
europepmc   +1 more source

Comprehensive study of stochastic soliton solutions in nonlinear models with application to the Davey Stewartson equations

Scientific Reports
This article investigates the stochastic Davey–Stewartson equations influenced by multiplicative noise within the framework of the It $$\hat{o}$$ calculus.
Yasir A. Madani, Shabbir Hussain, Mohammed A. Almalahi, Blgys Muflh, Khaled A. Aldwoah, Mukhtar Y. Y. Abdalla   +5 more
doaj   +1 more source