Results 41 to 50 of about 3,989 (142)

Novel analytical superposed nonlinear wave structures for the eighth-order (3+1)-dimensional Kac-Wakimoto equation using improved modified extended tanh function method

AIMS Mathematics
Higher-order nonlinear partial differential equations, such as the eighth-order Kac-Wakimoto model, are useful for studying wave turbulence in fluids, where energy transfers across a range of wave numbers.
Wafaa B. Rabie, Hamdy M. Ahmed, Taher A. Nofal, E. M. Mohamed   +3 more
doaj   +1 more source

Three-dimensional simulation of harmonic up-conversion in a prebunched two-beam free-electron laser

Physical Review Special Topics. Accelerators and Beams, 2010
Three-dimensional simulation of harmonic up-conversion in a free-electron laser amplifier operating simultaneously with two cold and relativistic electron beams with different energy is presented in the steady-state regime.
M. H. Rouhani, B. Maraghechi
doaj   +1 more source

Nonlinear monotonization of the Babenko scheme

Mathematical Modelling and Analysis, 2003
The goal of the paper is to present and test the nonlinear monotonization of the Babenko scheme for solving 2D linear advection equation with alternating‐sign velocities.
M. P. Galanin, T. G. Yelenina
doaj   +1 more source

Oscillation analysis of certain nonlinear impulsive delay hyperbolic equations with damping term(一类带阻尼项的非线性脉冲时滞双曲型方程的振动性分析)

Zhejiang Daxue xuebao. Lixue ban
The oscillation problem is investigated for a class of nonlinear impulsive delay hyperbolic equations with damping term. By employing the technique of treating damping term and some known results on first order impulsive delay differential inequalities ...
罗李平(LUO Liping), 曾云辉(ZENG Yunhui)   +1 more
doaj   +1 more source

Explicit exact solutions and bifurcation analysis for the mZK equation with truncated M-fractional derivatives utilizing two reliable methods

Open Physics
The (2+1)\left(2+1)-dimensional modified Zakharov–Kuznetsov (mZK) partial differential equation is of importance as a model for phenomena in various physical fields such as discrete electrical lattices, electrical waves in cold plasmas, nonlinear optical
Malingam Pim, Wongsasinchai Paiwan, Sirisubtawee Sekson   +2 more
doaj   +1 more source

Dynamics of Soliton Solutions to Nonlinear Dynamical Equations in Mathematical Physics: Application of Neural Network-Based Symbolic Methods

Mathematics
While recent advances have successfully integrated neural networks with physical models to derive numerical solutions, there remains a compelling need to obtain exact analytical solutions.
Jan Muhammad, Aljethi Reem Abdullah, Fengping Yao, Usman Younas   +3 more
doaj   +1 more source

Solitons unveilings and modulation instability analysis for sixth-order coupled nonlinear Schrödinger equations in fiber bragg gratings

AIMS Mathematics
This work investigated analytical solutions for a coupled system of nonlinear perturbed Schrödinger equations in fiber Bragg gratings (FBGs), characterized by sixth-order dispersion and a combination of Kerr and parabolic nonlocal nonlinear refractive ...
Noha M. Kamel, Hamdy M. Ahmed, Wafaa B. Rabie   +2 more
doaj   +1 more source

Traveling synchronized asymmetric two-waves in the propagation of the KdV and mKdV equations incorporating time-space dispersion terms

Partial Differential Equations in Applied Mathematics
Joseph and Egri revised the standard Korteweg-de Vries equation by replacing its third-order space dispersion term by space-time dispersions aiming to adjust the wave speed and preserve frequency stability. The aim of the current study is twofold. First,
Marwan Alquran, Imad Jaradat
doaj   +1 more source

Probabilistic Forecast of Multiphase Transport Under Viscous and Buoyancy Forces in Heterogeneous Porous Media

Water Resources Research
We develop a probabilistic approach to map parametric uncertainty to output state uncertainty in first‐order hyperbolic conservation laws. We analyze this problem for nonlinear immiscible two‐phase transport in heterogeneous porous media in the presence ...
Farzaneh Rajabi, Hamdi A. Tchelepi
doaj   +1 more source

Interaction Solutions for the Fractional KdVSKR Equations in (1+1)-Dimension and (2+1)-Dimension

Fractal and Fractional
We extend two KdVSKR models to fractional KdVSKR models with the Caputo derivative. The KdVSKR equation in (2+1)-dimension, which is a recent extension of the KdVSKR equation in (1+1)-dimension, can model the soliton resonances in shallow water. Applying
Lihua Zhang, Zitong Zheng, Bo Shen, Gangwei Wang, Zhenli Wang   +4 more
doaj   +1 more source