Results 91 to 100 of about 18,284 (167)
Conservative finite volume element schemes for the complex modified Korteweg–de Vries equation
International Journal of Applied Mathematics and Computer Science, 2017 The aim of this paper is to build and validate a class of energy-preserving schemes for simulating a complex modified Korteweg–de Vries equation. The method is based on a combination of a discrete variational derivative method in time and finite volume ...
Yan Jin-Liang, Zheng Liang-Hong
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A Jacobi Dual-Petrov Galerkin-Jacobi Collocation Method for Solving Korteweg-de Vries Equations
Abstract and Applied Analysis, 2012 The present paper is devoted to the development of a new scheme to solve the initial-boundary value Korteweg-de Vries equation which models many physical phenomena such as surface water waves in a channel.
Ali H. Bhrawy, M. M. Al-Shomrani
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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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General rogue wave solutions and their dynamics in the complex modified Korteweg–de Vries equation
Results in PhysicsBy means of the Hirota bilinear method together with the Kadomtsev–Petviashvili hierarchy reduction technique, general higher-order rogue wave solutions of the complex modified Korteweg–de Vries equation are derived explicitly.
Yan Zhu +5 more
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Exact solutions of stochastic Burgers–Korteweg de Vries type equation with variable coefficients
Partial Differential Equations in Applied MathematicsWe will present exact solutions for three variations of the stochastic Korteweg de Vries–Burgers (KdV–Burgers) equation featuring variable coefficients.
Kolade Adjibi +6 more
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Whitham equations and phase shifts for the Korteweg-de Vries equation. [PDF]
Proc Math Phys Eng Sci, 2020 Ablowitz MJ, Cole JT, Rumanov I.
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Boundary Value ProblemsIn this paper, we consider the stochastic modified Korteweg-de Vries-Zakharov-Kuznetsov (SmKdV-ZK) equation, which is driven in the Itô sense by advection noise. We show that by solving certain deterministic counterparts of the modified Korteweg-de Vries-
Sofian T. Obeidat +2 more
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Well-posedness for some perturbations of the KdV equation with low regularity data
Electronic Journal of Differential Equations, 2008 We study some well-posedness issues of the initial value problem associated with the equation $$ u_t+u_{xxx}+eta Lu+uu_x=0, quad x in mathbb{R}, ; tgeq 0, $$ where $eta>0$, $widehat{Lu}(xi)=-Phi(xi)hat{u}(xi)$ and $Phi in mathbb{R}$ is bounded ...
Mahendra Panthee, Xavier Carvajal
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Fractal and FractionalThis paper deals with the exact wave results of the (1+1)-dimensional nonlinear compound Korteweg–De Vries and Burgers (KdVB) equation with a truncated M-fractional derivative.
Abdulrahman Alomair +2 more
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Generation transcritical flow influenced by dissipation over a hole
Yanbu Journal of Engineering and ScienceTranscritical flow of a stratified fluid over an obstacle for negative forcing amplitude (hole) that generation upstream and downstream, connected by an unsteady solution is examined.
Mohammed Daher Albalwi
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