Results 11 to 20 of about 1,609 (176)
New Interaction Solutions for a (2 + 1)-Dimensional Vakhnenko Equation
Complexity, 2020 In this paper, we focus on the interaction solutions of a (2 + 1)-dimensional Vakhnenko equation. By using Hirota’s transformation combined with the three-wave method and with symbolic computation, some interaction solutions which include interaction ...
Qing Meng, Bin He
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The Trigonometric-Exponential Functions
, 2022 In this article, we provide definition of the trigonometric-exponential function and it’s indentities and properties.
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TIME-HYBRID HEAT AND WAVE EQUATIONS ON SCATTERED 𝑁-DIMENSIONAL COUPLED-JUMPING TIME SCALES
Проблемы анализа, 2022 In this paper, the exponential, hyperbolic, and trigonometric functions on 𝑛-dimensional coupled-jumping time scales (CJTS for short) are introduced. Based on this, we introduce the Laplace transform on 𝑛-dimensional CJTS and establish their related ...
Z. Li, C. Wang, R. P. Agarwal
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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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Advances in Difference Equations, 2021 This paper deals with Al-Salam fractional q-integral operator and its application to certain q-analogues of Bessel functions and power series. Al-Salam fractional q-integral operator has been applied to various types of q-Bessel functions and some power ...
Shrideh Al-Omari +2 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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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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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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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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Classes of new analytical soliton solutions to some nonlinear evolution equations
Results in Physics, 2021 Undoubtedly, all applied sciences are closely corresponding to differential equations, especially partial differential equations. This contribution aims to examine the efficiency of a modified version of the generalized exponential rational function ...
Yan Cao +7 more
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