Results 21 to 30 of about 395 (79)
Journal of Ocean Engineering and Science, 2022 The physical principles of natural occurrences are frequently examined using nonlinear evolution equations (NLEEs). Nonlinear equations are intensively investigated in mathematical physics, ocean physics, scientific applications, and marine engineering ...
Sachin Kumar, Amit Kumar
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Transversal instability for the thermodiffusive reaction-diffusion system [PDF]
, 2014 The propagation of unstable interfaces is at the origin of remarkable patterns that are observed in various areas of science as chemical reactions, phase transitions, growth of bacterial colonies.
Kolwalczyk, Michal +2 more
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Journal of Ocean Engineering and Science, 2022 The generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation.
Sachin Kumar +2 more
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A Hamilton-Jacobi approach for front propagation in kinetic equations [PDF]
, 2014 In this paper we use the theory of viscosity solutions for Hamilton-Jacobi equations to study propagation phenomena in kinetic equations. We perform the hydrodynamic limit of some kinetic models thanks to an adapted WKB ansatz.
Bouin, Emeric
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Partial Differential Equations in Applied Mathematics, 2023 In a range of nonlinear fields, for example molecular biology, physics in plasma, quantum mechanics, elastic media, nonlinear optics, the surface of water waves, and others, many complicated nonlinear behaviors can be pronounced using nonlinear ...
U.H.M. Zaman +3 more
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Homoclinic and heteroclinic solutions to a hepatitis C evolution model
Open Mathematics, 2018 Homoclinic and heteroclinic solutions to a standard hepatitis C virus (HCV) evolution model described by T. C. Reluga, H. Dahari and A. S. Perelson, (SIAM J. Appl. Math., 69 (2009), pp. 999–1023) are considered in this paper.
Telksnys Tadas +4 more
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Exact solutions for the ion sound Langmuir wave model by using two novel analytical methods
Results in Physics, 2020 In the present paper, the system of equations for the ion sound and Langmuir waves (SEISLWs) is considered to obtain the new solitary wave solutions of the non-linear evolution equations. Here, we used the relatively two new analytical methods to achieve
A. Tripathy, S. Sahoo
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(Non)linear instability of periodic traveling waves: Klein–Gordon and KdV type equations
Advances in Nonlinear Analysis, 2014 We prove the existence and nonlinear instability of periodic traveling wave solutions for the critical one-dimensional Klein–Gordon equation. We also establish a linear instability criterium for a KdV type system.
Angulo Pava Jaime, Natali Fabio
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ON APPROXIMATE AND CLOSED-FORM SOLUTION METHOD FOR INITIAL-VALUE WAVE-LIKE MODELS [PDF]
, 2016 This work presents a proposed Modified Differential Transform Method (MDTM) for obtaining both closed-form and approximate solutions of initial-value wave-like models with variable, and constant coefficients.
Akinlabi, G. O., Edeki, S.O.
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Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient [PDF]
, 2014 Several mathematical models of tumor growth are now commonly used to explain medical observations and predict cancer evolution based on images. These models incorporate mechanical laws for tissue compression combined with rules for nutrients availability
Perthame, Benoît +2 more
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