A high performance fifth‐order multistep WENO scheme
Sign Up to like & getrecommendations! Published in 2019 at "International Journal for Numerical Methods in Fluids"
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
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
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Sinica, English Series"
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
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
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
Collision of N-solitons in a fifth-order nonlinear Schrödinger equation
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DOI: 10.1016/j.wavemoti.2017.01.002
Abstract: Abstract The existence of N -solitons in a fifth-order nonlinear quintic Schrodinger equation is investigated through the use of a Hirota’s differential operator, which utilizes only one auxiliary function. This minimal use of auxiliary functions… read more here.
Keywords: order; fifth order; collision; equation ... See more keywords