Results 41 to 50 of about 17,441,971 (121)

Modulation instability, stochastic soliton dynamics, and analytical solutions in the Fokas-Lenells equation with quadratic-cubic nonlinearity

Ain Shams Engineering Journal
This study explores the stochastic dynamics of optical solitons in the Fokas-Lenells equation (FLE) with nonlinear chromatic dispersion and generalized quadratic-cubic self-phase modulation (SPM).
Yousef Alnafisah, Hamdy M. Ahmed, Wafaa B. Rabie   +2 more
doaj   +1 more source

Towards the KPP--Problem and log t-Front Shift for Higher-Order Nonlinear PDEs III. Dispersion and Hyperbolic Equations

, 2012
25 pages, 19 ...
openaire   +2 more sources

Numerical Analysis of Higher Order Discontinuous Galerkin Finite Element Methods [PDF]

, 2008
After the introduction in Section 1 this lecture starts off with recalling well-known results from the numerical analysis of the continuous finite element methods.
Hartmann, Ralf
core  

Phase-Space Structure and Traveling-Wave Solutions of a (3 + 1)-Dimensional Extended Kadomtsev–Petviashvili Equation

Mathematics
This study investigates the (3+1)-dimensional extended Kadomtsev–Petviashvili equation via traveling-wave phase-space geometry. The equation is reduced to a planar Hamiltonian system with cubic nonlinearity, whose conserved energy partitions the phase ...
Yaling Lai, Xiyan Wu, Jiaye Lin, Changlong Chen, Junjie Li, Yucheng Chen   +5 more
doaj   +1 more source

Convergence and Stability Improvement of Quasi-Newton Methods by Full-Rank Update of the Jacobian Approximates

AppliedMath
A system of simultaneous multi-variable nonlinear equations can be solved by Newton’s method with local q-quadratic convergence if the Jacobian is analytically available.
Peter Berzi
doaj   +1 more source

Introduction of a Simple Cnoidal Wave Formulation Based on Nonlinear Interaction of Wave-Wave Principles

International Journal of Coastal and Offshore Engineering, 2017
In this study, a simple and efficient approach based on nonlinear wave interaction fundamentals is theoretically proposed to generate surface profile of the cnoidal waves.
Seyed Masoud Mahmoudof, Fatemeh Hajivalie   +1 more
doaj  

Influences of Variable Thermal Conductivity, Viscous Dissipation, and Cattaneo–Christov Heat and Mass Fluxes on MHD Tangent Hyperbolic Ternary Hybrid Nanofluid Flow Over a Stretching Sheet

Engineering Reports
This study focuses on the heat and mass transfer characteristics of magnetohydrodynamic tangent hyperbolic ternary hybrid nanofluid flow over a stretching plate, incorporating complex factors such as variable thermal conductivity, Joule heating, viscous ...
Asfaw Tsegaye Moltot, Eshetu Haile Gorfie, Gurju Awgichew Zergaw, Hunegnaw Dessie Asress   +3 more
doaj   +1 more source

Nucci based soliton structures and nonlinear dynamics of the (3+1) dimensional hyperbolic Schrödinger equation. [PDF]

Sci Rep
Shahbaz A, Abbas M, Higazy M, Yousaf MZ, Ogrenmis M, Birhanu A, Hamed YS.   +6 more
europepmc   +1 more source

Extracting wave solutions of coupled system of dual-mode variant boussinesq equation via two analytical methods. [PDF]

Sci Rep
Arshed S, Akram G, Sadaf M, Ahmed M, Birhanu A, Abd El-Rahman M.   +5 more
europepmc   +1 more source

Artificial neural network prediction of nonlinear radiative heat transfer and entropy generation in tangent hyperbolic tetra hybrid nanofluid flow over a porous wedge. [PDF]

Discov Nano
Krishnan D, Durgaprasad P.
europepmc   +1 more source