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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…
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Keywords:
grant award;
multistep weno;
order;
weno scheme ... See more keywords
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2
Published in 2021 at "Mediterranean Journal of Mathematics"
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…
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Keywords:
method using;
convergence;
order;
iterative method ... See more keywords
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2
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…
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Keywords:
order mkdv;
global well;
fifth order;
well posedness ... See more keywords
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Published in 2019 at "Journal of Mathematical Sciences"
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…
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Keywords:
force field;
fifth order;
third fifth;
dynamical systems ... See more keywords
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Published in 2017 at "Journal of Differential Equations"
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.…
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Keywords:
solitary waves;
transverse instability;
instability periodic;
fifth order ... See more keywords
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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 +…
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Keywords:
order kadomtsev;
fifth order;
kadomtsev petviashvili;
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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…
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Keywords:
petviashvili equation;
order kadomtsev;
kadomtsev petviashvili;
fifth order ... See more keywords
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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 +…
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Keywords:
term;
dispersive term;
fifth order;
problem ... See more keywords
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2
Published in 2021 at "Journal of Mathematical Analysis and Applications"
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…
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Keywords:
differential equation;
partial differential;
equation;
dispersive partial ... See more keywords
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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…
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Keywords:
order kdv;
fifth order;
kdv equations;
cauchy problem ... See more keywords
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Published in 2017 at "Wave Motion"
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…
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Keywords:
order;
fifth order;
collision;
equation ... See more keywords