Results 51 to 60 of about 155 (137)

A Study on the Semi-Discrete KP Equation: Bilinear Bäcklund Transformation, Lax Pair and Periodic Wave Solutions

Mathematics
In this paper, we investigate the integrability and solution structure of the semi-discrete KP equation. A bilinear Bäcklund transformation, Lax pair, and nonlinear superposition formula are systematically derived, establishing the integrability of the ...
Chunxia Li, Linshuo Wan, Hongyan Wang
doaj   +1 more source

Constructing Physical Breather Solutions for the (2 + 1)‐ and (3 + 1)‐Dimensional Extended KdV and KP Systems via the Hirota Bilinear Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents an analysis of breather soliton solutions of the integrable extended KdV and KP equations in (2 + 1)‐ and (3 + 1)‐dimensional settings. Employing symbolic computation along with Hirota’s bilinear formalism, we construct positive logarithmic function solutions for the corresponding bilinear equations associated with each model. These
Ali Danladi, Ulviye Demirbilek, Taha Radwan, Karim K. Ahmed, Smritijit Sen   +4 more
wiley   +1 more source

Dynamic Behavior of the Chavy–Waddy–Kolokolnikov (CWK) Model of Bacterial Clustering in Phototaxis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, we investigate the nonlinear dynamics of the continuity‐based Chavy–Waddy–Kolokolnikov (CWK) model for bacterial clustering in phototaxis. The model describes microorganism movement and pattern formation under light stimuli and thus serves as a useful prototype for biological transport processes.
Loubna Ouahid, Dhafer O. Alshahrani, M. A. Abdou, M. Ali Akbar, Smritijit Sen   +4 more
wiley   +1 more source

Edge States and Chiral Solitons in Topological Hall and Chern–Simons Fields

Моделирование и анализ информационных систем, 2018
The multi-component extension problem of the (2+1)D-gauge topological Jackiw–Pi model describing the nonlinear quantum dynamics of charged particles in multi-layer Hall systems is considered.
Agalar M. Agalarov, Telman A. Gadzhimuradov, Alexander A. Potapov, Alexander E. Rassadin,   +3 more
doaj   +1 more source

The Dynamical Landscape of the Negative‐Order (3+1)‐Dimensional Calogero–Bogoyavlenskii–Schiff Equation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
A new negative‐order form of the (3 + 1)‐dimensional Calogero–Bogoyavlenskii–Schiff equation is examined in this investigation. This equation plays an important role in accurately describing the thermodynamic properties of mixtures, particularly in chemical engineering applications.
Ulviye Demirbilek, Jan Muhammad, Arzu Akbulut, Usman Younas, Taha Radwan, Karim K. Ahmed, Dimitri Mugnai   +6 more
wiley   +1 more source

Dynamical Analysis of Wave Solutions for the Complex Ginzburg−Landau and (4 + 1)‐Dimensional Fokas Equations With Beta Derivative

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study propounds a detailed report on the exact wave solutions of the complex fractional Ginzburg−Landau equation (CFGLE) with quadratic‐cubic law nonlinearity and (4 + 1)‐dimensional fractional Fokas equation (FFE). For this purpose, the aforementioned equations are transformed into nonlinear ordinary differential equations (NLODEs) within the ...
Özlem Kırcı, Yusuf Pandır, Yusuf Gurefe, Hussain Juya, Yongqiang Fu   +4 more
wiley   +1 more source

Woody cover and geology as regional‐scale determinants of semi‐arid savanna stability

Remote Sensing in Ecology and Conservation, Volume 11, Issue 5, Page 539-554, October 2025.
Savannas are vital for global biodiversity and carbon storage, yet their responses to climate change and human activity remain uncertain. Using remote sensing time series and Bayesian Linear Models, we show that drought resistance and resilience vary regionally, shaped by complex interactions between geology, woody cover, fire regimes, past climate ...
Liezl Mari Vermeulen, Koenraad Van Meerbeek, Paulo Negri Bernardino, Jasper Slingsby, Bruno Verbist, Ben Somers   +5 more
wiley   +1 more source

Construction of M-shaped solitons for a modified regularized long-wave equation via Hirota's bilinear method

Open Physics
This study examines the effects of various M-shaped water wave shapes on coastal environments for the modified regularized long-wave equation (MRLWE).
Ceesay Baboucarr, Ahmed Nauman, Macías-Díaz Jorge E.   +2 more
doaj   +1 more source

Oscillatory soliton pairs in spin-orbit coupled spin-1/2 Bose–Einstein condensates

New Journal of Physics
We investigate oscillatory soliton pairs including the bright–bright solitons, dark–dark solitons, bright–dark solitons and beating solitons (beating soliton refers to a type of soliton characterized by components that are each composed of both bright ...
Fei-Yan Liu, Qin Zhou
doaj   +1 more source

Modeling lump and soliton wave interactions in the (3 + 1)D Fornberg-Whitham equation using a physics-informed neural network framework

Partial Differential Equations in Applied Mathematics
This paper presents an in-depth analytical and computational study of the (3 + 1)-dimensional Fornberg-Whitham (FW) equation, a highly nonlinear partial differential equation modeling complex wave interactions in multidimensional dispersive media ...
Md. Towhiduzzaman, Md. Abdul Al Mohit, A.Z.M. Asaduzzaman   +2 more
doaj   +1 more source