Multiple rogue wave solutions and the linear superposition principle for a (3 + 1)‐dimensional Kadomtsev–Petviashvili–Boussinesq‐like equation arising in energy distributions
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7676
Abstract: The multiple exp‐function method and multiple rogue wave solutions method are employed for searching the multiple soliton solutions to the (3 + 1)‐dimensional Kadomtsev–Petviashvili–Boussinesq‐like (KP‐Boussinesq‐like) equation. The obtained solutions contain the first‐order, second‐order, third‐order, and fourth‐order wave… read more here.
Keywords: like equation; boussinesq like; order; wave solutions ... See more keywords
The prediction of high-pressure densities of different fuels using fluctuation theory-based Tait-like equation of state
Sign Up to like & getrecommendations! Published in 2018 at "Fuel"
DOI: 10.1016/j.fuel.2018.01.091
Abstract: Abstract We demonstrate that the Fluctuation Theory-based Tait-like Equation of State (FT-EoS) allows an accurate prediction of the fuel density at high pressures using their density and isothermal compressibility data determined at atmospheric pressure only.… read more here.
Keywords: like equation; theory based; based tait; tait like ... See more keywords
Soliton and lump and travelling wave solutions of the (3 + 1) dimensional KPB like equation with analysis of chaotic behaviors
Sign Up to like & getrecommendations! Published in 2024 at "Scientific Reports"
DOI: 10.1038/s41598-024-71821-5
Abstract: Nonlinear evolution equations (NLEEs) have a wide range of applications in various fields, including physics, engineering, biology, economics, and more. These equations are used to describe complex systems that change over time, where the state… read more here.
Keywords: equation; soliton lump; lump travelling; like equation ... See more keywords
Diffusive limit for a Boltzmann-like equation with non-conserved momentum
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinearity"
DOI: 10.1088/1361-6544/ab395a
Abstract: We consider a kinetic model whose evolution is described by a Boltzmann- like equation for the one-particle phase space distribution f(x,v,t). There are hard-sphere collisions between the particles as well as collisions with randomly xed… read more here.
Keywords: boltzmann like; equation non; like equation; diffusive limit ... See more keywords
Comparison of tunneling currents in graphene nanoribbon tunnel field effect transistors calculated using Dirac-like equation and Schrödinger's equation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Semiconductors"
DOI: 10.1088/1674-4926/40/6/062002
Abstract: The tunneling current in a graphene nanoribbon tunnel field effect transistor (GNR-TFET) has been quantum mechanically modeled. The tunneling current in the GNR-TFET was compared based on calculations of the Dirac-like equation and Schrodinger's equation.… read more here.
Keywords: like equation; tunneling currents; dirac like; calculated using ... See more keywords
Abundant new interaction solutions and nonlinear dynamics for the (3+1)-dimensional Hirota–Satsuma–Ito-like equation
Sign Up to like & getrecommendations! Published in 2025 at "Open Physics"
DOI: 10.1515/phys-2024-0114
Abstract: Abstract In this article, the (3+1)-dimensional Hirota–Satsuma–Ito-like equation is investigated by the modified direct method, from which some interaction solutions among lump, stripe solitons, and Jacobi elliptic function wave solutions are obtained, which are crucial… read more here.
Keywords: satsuma ito; interaction solutions; like equation; hirota satsuma ... See more keywords
A New Class of Edge Filter Based on a Cross-correlation-like Equation Derived from Fractional Calculus Principles
Sign Up to like & getrecommendations! Published in 2024 at "Applied Sciences"
DOI: 10.3390/app14135428
Abstract: In this paper, we propose a new sliding window edge-oriented filter that computes the output pixels using a cross-correlation-like equation derived from the principles of fractional calculus (FC); thus, we call it the “fractional cross-correlation… read more here.
Keywords: filter; edge; cross correlation; like equation ... See more keywords
A New Adaptive Fuzzy PID Controller Based on Riccati-Like Equation with Application to Vibration Control of Vehicle Seat Suspension
Sign Up to like & getrecommendations! Published in 2019 at "Applied Sciences"
DOI: 10.3390/app9214540
Abstract: A new controller based on the modified Riccati-like Equation is developed in this paper. The interval type 2 fuzzy model is applied and embedded in the controller to ensure the robustness to parameter uncertainties and… read more here.
Keywords: like equation; control; controller; riccati like ... See more keywords
A New (3+1)-Dimensional Extension of the Kadomtsev-Petviashvili-Boussinesq-like Equation: Multiple-Soliton Solutions and Other Particular Solutions
Sign Up to like & getrecommendations! Published in 2024 at "Symmetry"
DOI: 10.3390/sym16101345
Abstract: In this study, we focus on investigating a novel extended (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq-like (KPB-like) equation. Initially, we utilized the Lie symmetry method to determine the symmetry generator by considering the Lie invariance condition. Subsequently, by similar… read more here.
Keywords: equation; petviashvili boussinesq; boussinesq like; like equation ... See more keywords