Blowing-up solutions of the time-fractional dispersive equations
Advances in Nonlinear Analysis, 2021 This paper is devoted to the study of initial-boundary value problems for time-fractional analogues of Korteweg-de Vries, Benjamin-Bona-Mahony, Burgers, Rosenau, Camassa-Holm, Degasperis-Procesi, Ostrovsky and time-fractional modified Korteweg-de Vries ...
Alsaedi Ahmed +3 more
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Symmetries and reductions of integrable nonlocal partial differential equations
, 2019 In this paper, symmetry analysis is extended to study nonlocal differential equations, in particular two integrable nonlocal equations, the nonlocal nonlinear Schr\"odinger equation and the nonlocal modified Korteweg--de Vries equation.
Peng, Linyu
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Symmetries for the Semi-Discrete Lattice Potential Korteweg–de Vries Equation
MathematicsIn this paper, we prove that the isospectral flows associated with both the x-part and the n-part of the Lax pair of the semi-discrete lattice potential Korteweg–de Vries equation are symmetries of the equation.
Junwei Cheng, Xiang Tian
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Theoretical investigation of the behavior of spherical ion- acoustic solitons in two-temperature plasma [PDF]
مجله علوم و فنون هستهای, 2019 The propagation of the small amplitude ion-acoustic solitary waves (IASWs) is studied in a plasma containing cold fluid ions and multi-temperature electrons (cool and hot electrons) with the nonextensive distribution.
M Nezam, A Nazari Golshan
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The Sylvester equation and integrable equations: I. The Korteweg-de Vries system and sine-Gordon equation [PDF]
, 2014 The paper is to reveal the direct links between the well known Sylvester equation in matrix theory and some integrable systems. Using the Sylvester equation $\boldsymbol{K} \boldsymbol{M}+\boldsymbol{M} \boldsymbol{K}=\boldsymbol{r}\, \boldsymbol{s}^{T}$
Xu, Dan-dan +2 more
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Near-linear dynamics in KdV with periodic boundary conditions
, 2009 Near linear evolution in Korteweg de Vries (KdV) equation with periodic boundary conditions is established under the assumption of high frequency initial data.
Colliander J Keel M Staffilani G Takaoka H Tao T +6 more
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A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation [PDF]
, 2010 Consider a one-dimensional Schroedinger operator which is a short range perturbation of a finite-gap operator. We give necessary and sufficient conditions on the left, right reflection coefficient such that the difference of the potentials has finite ...
Egorova, Iryna, Teschl, Gerald
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The Generalized Harry Dym Equation
, 2003 The Harry Dym equation is generalized to the system of equations in the manner as the Korteweg - de Vries equation is generalized to the Hirota - Satsuma equation . The Lax and Hamiltonian formulation for this generalization is given.This generalized Lax
Adler +11 more
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On integrability of one third-order nonlinear evolution equation
, 2003 We study one third-order nonlinear evolution equation, recently introduced by Chou and Qu in a problem of plane curve motions, and find its transformation to the modified Korteweg - de Vries equation, its zero-curvature representation with an essential ...
Chou +8 more
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Solitary Wave Solutions of the Generalized Rosenau-KdV-RLW Equation
Mathematics, 2020 This paper investigates the solitary wave solutions of the generalized Rosenau–Korteweg-de Vries-regularized-long wave equation. This model is obtained by coupling the Rosenau–Korteweg-de Vries and Rosenau-regularized-long wave equations. The solution of
Zakieh Avazzadeh +2 more
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