A high performance fifth‐order multistep WENO scheme
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DOI: 10.1002/fld.4747
Abstract: Funding information NSAF, Grant/Award Number: U1530145; NKRDPC, Grant/Award Number: 2016YFA0401200; SCP, Grant/Award Number: TZ2016002; NSFC, Grant/Award Number: 11872067 and 91852203 Summary Many efforts have been made to improve the accuracy of the conventional weighted essentially… read more here.
Keywords: grant award; multistep weno; order; weno scheme ... See more keywords
A modified fifth‐order WENO‐Z scheme based on the weights of the reformulated adaptive order WENO scheme
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DOI: 10.1002/fld.5314
Abstract: A modified fifth‐order WENO‐Z scheme is proposed by analogy with the non‐normalized weights of the reformulated fifth‐order adaptive order (AO) WENO scheme. We show that if the original fifth‐order WENO‐AO scheme is rewritten as the… read more here.
Keywords: fifth order; weno scheme; order; order weno ... See more keywords
Convergence Analysis of a Fifth-Order Iterative Method Using Recurrence Relations and Conditions on the First Derivative
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DOI: 10.1007/s00009-021-01697-6
Abstract: Using conditions on the second Frechet derivative, fifth order of convergence was established in Singh et al. (Mediterr J Math 13:4219–4235, 2016) for an iterative method. In this paper, we establish fifth order of convergence… read more here.
Keywords: method using; convergence; order; iterative method ... See more keywords
Global well-posedness for the fifth-order mKdV equation
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DOI: 10.1007/s10114-018-7241-4
Abstract: AbstractWe prove the global well-posedness for the Cauchy problem of fifth-order modified Korteweg–de Vries equation in Sobolev spaces Hs(ℝ) for s > $$ - \frac{3}{{22}}$$−322 . The main approach is the “I-method” together with the… read more here.
Keywords: order mkdv; global well; fifth order; well posedness ... See more keywords
Integrable Third and Fifth Order Dynamical Systems with Dissipation
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DOI: 10.1007/s10958-019-04313-x
Abstract: We establish the integrability of some homogeneous (with respect to a part of variables) dynamical systems of odd (third and fifth) order. In the class of such systems, we extract a system on the tangent… read more here.
Keywords: force field; fifth order; third fifth; dynamical systems ... See more keywords
Transverse instability of periodic and generalized solitary waves for a fifth-order KP model
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DOI: 10.1016/j.jde.2016.11.025
Abstract: We consider a fifth-order Kadomtsev–Petviashvili equation which arises as a two-dimensional model in the classical water-wave problem. This equation possesses a family of generalized line solitary waves which decay exponentially to periodic waves at infinity.… read more here.
Keywords: solitary waves; transverse instability; instability periodic; fifth order ... See more keywords
Low regularity for the fifth order Kadomtsev–Petviashvili-I type equation
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DOI: 10.1016/j.jde.2017.06.032
Abstract: Abstract The Cauchy problem of the fifth order Kadomtsev–Petviashvili-I equation (fifth-KP-I) (0.1) ∂ t u + ∂ x 5 u ± ∂ x 3 u − ∂ x − 1 ∂ y y u +… read more here.
Keywords: order kadomtsev; fifth order; kadomtsev petviashvili;
On the propagation of regularities in solutions of the fifth order Kadomtsev-Petviashvili II equation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.05.024
Abstract: Abstract In this paper we study special properties of solutions of the initial value problem (IVP) associated to the fifth order Kadomtsev-Petviashvili II equation. Mainly, for initial data ϕ ∈ H 1 + ( R… read more here.
Keywords: petviashvili equation; order kadomtsev; kadomtsev petviashvili; fifth order ... See more keywords
Non-homogeneous initial-boundary-value problem of the fifth-order Korteweg-de Vries equation with a nonlinear dispersive term
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124848
Abstract: Abstract We study the initial-boundary-value problem of the fifth-order KdV equation ∂ t u − ∂ x 5 u = c 1 u ∂ x u + c 2 u 2 ∂ x u +… read more here.
Keywords: term; dispersive term; fifth order; problem ... See more keywords
A fifth-order dispersive partial differential equation for curve flow on the sphere
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DOI: 10.1016/j.jmaa.2021.125297
Abstract: Abstract The initial value problem for a fifth-order nonlinear dispersive partial differential equation describing the curve flow on the sphere is considered. A typical example of the equation arises in a hierarchy of completely integrable… read more here.
Keywords: differential equation; partial differential; equation; dispersive partial ... See more keywords
On the Cauchy problem for the strong dissipative fifth-order KdV equations
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2019.02.002
Abstract: Abstract We study the Cauchy problem for the strong dissipative fifth-order KdV equations (0.1) ∂ t u + β 1 ∂ x 5 u + β 2 ∂ x 4 u = c 1 u… read more here.
Keywords: order kdv; fifth order; kdv equations; cauchy problem ... See more keywords