Results 31 to 40 of about 2,958 (201)
Results in Physics, 2021 Our aim in this paper is to determine rogue-wave solutions for Maccari-system. We also construct multi-waves, homoclinic breathers, M-shaped rational and periodic cross kink solutions with the combination of exponential, rational, trigonometric functions
Syed T.R. Rizvi +5 more
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Solitons, one line rogue wave and breather wave solutions of a new extended KP-equation
Results in Physics, 2023 The Kadomtsev–Petviashvili equation and its variants play a significant role in the description of several nonlinear phenomena arising in physics. In this paper, a new extension of the Kadomtsev–Petviashvili equation is considered.
Ghazala Akram +3 more
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Advances in Difference Equations, 2018 In this paper, we aim to investigate q-analogues of the natural transform on various elementary functions of special type. We obtain results associated with classes of q-convolution products, Heaviside functions, q-exponential functions, q-hyperbolic ...
Shrideh K Al-Omari
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A Systematic Approach to Delay Functions
Mathematics, 2023 We present a systematic introduction to a class of functions that provide fundamental solutions for autonomous linear integer-order and fractional-order delay differential equations.
Christopher N. Angstmann +4 more
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Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator
The Scientific World Journal, 2022 The cubic-quintic Duffing oscillator of a system with strong quadratic damping and forcing is considered. We give elementary approximate analytical solution to this oscillator in terms of exponential and trigonometric functions. We compare the analytical
Alvaro H. S. Salas
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Annihilation operators for exponential spaces in subdivision [PDF]
, 2022 We investigate properties of differential and difference operators annihilating certain finite-dimensional spaces of exponential functions in two variables that are connected to the representation of real-valued trigonometric and hyperbolic functions ...
Conti, C. +9 more
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AI &Innovation, EarlyView.ABSTRACT Maintaining an effective balance between exploration and exploitation is essential during optimization processes, from mathematical functions to more complex problems such as constrained engineering design optimization, particularly when addressing highly nonlinear issues with numerous local optima and strict feasibility requirements.
Enrique Lizárraga +3 more
wiley +1 more source
Bounds for Quotients of Inverse Trigonometric and Inverse Hyperbolic Functions
, 2022 We establish new simple bounds for the quotients of inverse trigonometric and inverse hyperbolic functions such as sin−1xsinh−1x and tanh−1xtan−1x.
Sumedh B. Thool +3 more
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Materials Genome Engineering Advances, EarlyView.This study breaks extrapolation barriers in alloy design by merging symbolic regression with latent space sampling. The dual‐strategy framework enables accurate prediction of high‐hardness properties and navigates uncharted compositional spaces. The approach successfully designs novel high‐entropy alloys with hardness exceeding 863.5 HV, demonstrating ...
Zhigang Yu +6 more
wiley +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori +1 more
wiley +1 more source