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Field: Statistical and Nonlinear Physics

Fundamentals of Engineering Thermodynamics

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V. Babu

Year: 2019Citations: 1611

This book deals with all the concepts in first level Thermodynamics course. Numerous examples are given with the objective of illustrating how the concepts are used for the thermodynamic analysis of devices. Please note: T&F does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan,...

Physical SciencesPhysics and AstronomyStatistical and Nonlinear Physics
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Soliton solutions to the Boussinesq equation through sine-Gordon method and Kudryashov method

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M. Ali Akbar, Lanre Akinyemi, Shao-Wen Yao, Adil Jhangeer et al.

Journal: Results in PhysicsYear: 2021Citations: 255

The Boussinesq equation simulates weakly nonlinear and long wave approximation that can be used in water waves, coastal engineering, and numerical models for water wave simulation in harbors and shallow seas. In this article, the sine-Gordon expansion (SGE) approach and the generalized Kudryashov (G...

Physical SciencesPhysics and AstronomyStatistical and Nonlinear PhysicsOpen Access
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Study on Date–Jimbo–Kashiwara–Miwa Equation with Conformable Derivative Dependent on Time Parameter to Find the Exact Dynamic Wave Solutions

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Md Ashik Iqbal, Ye Wang, M. Mamun Miah, M.S. Osman

Journal: Fractal and FractionalYear: 2021Citations: 199

In this article, we construct the exact dynamical wave solutions to the Date–Jimbo–Kashiwara–Miwa equation with conformable derivative by using an efficient and well-established approach, namely: the two-variable G’/G, 1/G-expansion method. The solutions of the Date–Jimbo–Kashiwara–Miwa equation wit...

Physical SciencesPhysics and AstronomyStatistical and Nonlinear PhysicsOpen Access
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From Innovation to Social Norm: Bounded Normative Influence

Verified

D. Lawrence Kincaid

Journal: Journal of Health CommunicationYear: 2004Citations: 177

CORRECTION: Every innovation begins as a deviation from existing social norms. Given the strong effect of social norms and pressure, how can any innovation ever diffuse to the point where it becomes a new social norm? The seeming paradox of how a minority can influence the majority has not been expl...

Physical SciencesPhysics and AstronomyStatistical and Nonlinear Physics
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The sine-Gordon expansion method to look for the traveling wave solutions of the Tzitzéica type equations in nonlinear optics

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Dipankar Kumar, K. Hosseini, F. Samadani

Journal: OptikYear: 2017Citations: 158
Physical SciencesPhysics and AstronomyStatistical and Nonlinear Physics
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Exact and solitary wave solutions for the Tzitzeica–Dodd–Bullough and the modified KdV–Zakharov–Kuznetsov equations using the modified simple equation method

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Kamruzzaman Khan, M. Ali Akbar

Journal: Ain Shams Engineering JournalYear: 2013Citations: 142

The modified simple equation (MSE) method is thriving in finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in engineering and mathematical physics. In this study, we bring to bear the MSE method to look for the exact solutions via the Tzitzeica–Dodd–Bullough and the mod...

Physical SciencesPhysics and AstronomyStatistical and Nonlinear PhysicsOpen Access
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Nonlinear dispersion in parabolic law medium and its optical solitons

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Lanre Akinyemi, Hadi Rezazadeh, Shao-Wen Yao, M. Ali Akbar et al.

Journal: Results in PhysicsYear: 2021Citations: 139

This paper studies the optical soliton solutions of a nonlinear Schrödinger equation (NLSE) involving parabolic law of nonlinearity with the presence of nonlinear dispersion by using the generalized auxiliary equation technique. As a result, new varieties of exact traveling wave solutions have been ...

Physical SciencesPhysics and AstronomyStatistical and Nonlinear PhysicsOpen Access
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New Traveling Wave Solutions of the Higher Dimensional Nonlinear Partial Differential Equation by the Exp‐Function Method

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Hasibun Naher, Farah Aini Abdullah, M. Ali Akbar

Journal: Journal of Applied MathematicsYear: 2012Citations: 135

We construct new analytical solutions of the (3 + 1)‐dimensional modified KdV‐Zakharov‐Kuznetsev equation by the Exp‐function method. Plentiful exact traveling wave solutions with arbitrary parameters are effectively obtained by the method. The obtained results show that the Exp‐function method is e...

Physical SciencesPhysics and AstronomyStatistical and Nonlinear PhysicsOpen Access
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Failure-Informed Adaptive Sampling for PINNs

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Zhiwei Gao, Liang Yan, Tao Tang

Journal: SIAM Journal on Scientific ComputingYear: 2023Citations: 128

.Physics-informed neural networks (PINNs) have emerged as an effective technique for solving PDEs in a wide range of domains. It is noticed, however, that the performance of PINNs can vary dramatically with different sampling procedures. For instance, a fixed set of (prior chosen) training points ma...

Physical SciencesPhysics and AstronomyStatistical and Nonlinear Physics
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The system of equations for the ion sound and Langmuir waves and its new exact solutions

Verified

Aly R. Seadawy, Dipankar Kumar, K. Hosseini, F. Samadani

Journal: Results in PhysicsYear: 2018Citations: 124

The present study deals with the system of equations for the ion sound and Langmuir waves (SEISLWs). Distinct integration schemes, including the modified Kudraysov method (MKM) and the hyperbolic function method (HFM) with the help of symbolic computation package, are utilized to acquire new exact s...

Physical SciencesPhysics and AstronomyStatistical and Nonlinear PhysicsOpen Access
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A Generalized and Improved (<i>G</i><sup><i>′</i></sup>/<i>G</i>)‐Expansion Method for Nonlinear Evolution Equations

Verified

M. Ali Akbar, Norhashidah Hj. Mohd. Ali, E. M. E. Zayed

Journal: Mathematical Problems in EngineeringYear: 2012Citations: 124

A generalized and improved ( G ′ / G )‐expansion method is proposed for finding more general type and new travelling wave solutions of nonlinear evolution equations. To illustrate the novelty and advantage of the proposed method, we solve the KdV equation, the Zakharov‐Kuznetsov‐Benjamin‐Bona‐Mahony...

Physical SciencesPhysics and AstronomyStatistical and Nonlinear PhysicsOpen Access
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Parameter identification of dynamical systems from time series

Verified

Wenwu Yu, Guanrong Chen, Jinde Cao, Jinhu Lü et al.

Journal: Physical Review EYear: 2007Citations: 123

In this paper, synchronization based parameter identification of dynamical systems from time series is carefully revisited. It is shown, based on rigorous theoretical analysis and concrete counterexamples, that some recent research reports on this issue are incomplete or even incorrect. A linear ind...

Physical SciencesPhysics and AstronomyStatistical and Nonlinear PhysicsOpen Access
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Dispersive optical soliton solutions for the hyperbolic and cubic-quintic nonlinear Schrödinger equations via the extended sinh-Gordon equation expansion method

Verified

Aly R. Seadawy, Dipankar Kumar, Anuz Kumar Chakrabarty

Journal: The European Physical Journal PlusYear: 2018Citations: 120
Physical SciencesPhysics and AstronomyStatistical and Nonlinear Physics
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New Exact Traveling Wave Solutions of the Unstable Nonlinear Schrödinger Equations

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K. Hosseini, Dipankar Kumar, Melike Kaplan, Elham Yazdani Bejarbaneh

Journal: Communications in Theoretical PhysicsYear: 2017Citations: 120

Abstract The present paper studies the unstable nonlinear Schrödinger equations, describing the time evolution of disturbances in marginally stable or unstable media. More precisely, the unstable nonlinear Schrödinger equation and its modified form are analytically solved using two efficient distinc...

Physical SciencesPhysics and AstronomyStatistical and Nonlinear Physics
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A novel (<i>G</i>′/<i>G</i>)-expansion method and its application to the Boussinesq equation

Verified

Md. Nur Alam, M. Ali Akbar, Syed Tauseef Mohyud‐Din

Journal: Chinese Physics BYear: 2014Citations: 119

In this article, a novel (G'/G)-expansion method is proposed to search for the traveling wave solutions of nonlinear evolution equations. We construct abundant traveling wave solutions involving parameters to the Boussinesq equation by means of the suggested method. The performance of the method is ...

Physical SciencesPhysics and AstronomyStatistical and Nonlinear Physics
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