Results 21 to 30 of about 18,365 (215)
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 Partial differential equations of the third order are the basis of mathematical models of many phenomena and processes, such as the phenomenon of energy transfer of hydrolysis of adenosine triphosphate molecules along protein molecules in the form of ...
М.B. Muratbekov, A.O. Suleimbekova
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Algebraic traveling waves for the modified Korteweg–de-Vries–Burgers equation
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we characterize all traveling wave solutions of the Generalized Korteweg–de Vries–Burgers equation. In particular we recover the traveling wave solutions for the well-known Korteweg–de Vries–Burgers equation.
Claudia Valls
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The d-bar formalism for the modified Veselov-Novikov equation on the half-plane [PDF]
Opuscula Mathematica, 2022 We study the modified Veselov-Novikov equation (mVN) posed on the half-plane via the Fokas method, considered as an extension of the inverse scattering transform for boundary value problems.
Guenbo Hwang, Byungsoo Moon
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On the Korteweg‐de Vries equation: an associated equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1984 The purpose of this paper is to describe a relationship between the Korteweg‐de Vries (KdV) equation urn:x-wiley:01611712:media:ijmm237357:ijmm237357-math-0001 and another nonlinear partial differential equation of the form urn:x-wiley:01611712:media:ijmm237357:ijmm237357-math-0002 The second equation will be called the Associated Equation (AE ...
Eugene P. Schlereth, Ervin Y. Rodin
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Solutions to the complex Korteweg-de Vries equation: Blow-up solutions and non-singular solutions [PDF]
, 2013 In the paper two kinds of solutions are derived for the complex Korteweg-de Vries equation, including blow-up solutions and non-singular solutions. We derive blow-up solutions from known 1-soliton solution and a double-pole solution.
Sun, Ying-ying +2 more
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The Miura Map on the Line [PDF]
, 2005 The Miura map (introduced by Miura) is a nonlinear map between function spaces which transforms smooth solutions of the modified Korteweg - de Vries equation (mKdV) to solutions of the Korteweg - de Vries equation (KdV).
Kappeler, Thomas +3 more
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Spatial Analyticity of Solutions to Korteweg–de Vries Type Equations
Mathematical and Computational Applications, 2021 The Korteweg–de Vries equation (KdV) is a mathematical model of waves on shallow water surfaces. It is given as third-order nonlinear partial differential equation and plays a very important role in the theory of nonlinear waves.
Keltoum Bouhali +4 more
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Transverse Instability of Periodic Traveling Waves in the Generalized Kadomtsev-Petviashvili Equation [PDF]
, 2009 In this paper, we investigate the spectral instability of periodic traveling wave solutions of the generalized Korteweg-de Vries equation to long wavelength transverse perturbations in the generalized Kadomtsev-Petviashvili equation.
Johnson, Mathew A., Zumbrun, Kevin
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Cosmology and the Korteweg-de Vries equation [PDF]
Physical Review D, 2012 The Korteweg-de Vries (KdV) equation is a non-linear wave equation that has played a fundamental role in diverse branches of mathematical and theoretical physics. In the present paper, we consider its significance to cosmology. It is found that the KdV equation arises in a number of important scenarios, including inflationary cosmology, the cyclic ...
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Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One
Contemporary Mathematics, 2020 The Rosenau-Korteweg-de Vries equation describes the wave-wave and wave-wall interactions. In this paper, we prove that, as the diffusion parameter is near zero, it coincides with the Korteweg-de Vries equation. The proof relies on deriving suitable a priori estimates together with an application of the Aubin-Lions Lemma.
Coclite, Giuseppe Maria +1 more
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