LAUSR

About LAUSR
Donate
Contact Us

Follow us:

You are not signed in:

Sign Up!


   Articles with "kawahara equation" as a keyword



Photo from wikipedia

On the radius of spatial analyticity for the modified Kawahara equation on the line

Sign Up to like & get
recommendations! Published in 2019 at "Mathematische Nachrichten"

DOI: 10.1002/mana.201800394

Abstract: First, by using linear and trilinear estimates in Bourgain type analytic and Gevrey spaces, the local well‐posedness of the Cauchy problem for the modified Kawahara equation on the line is established for analytic initial data… read more here.

Keywords: radius spatial; spatial analyticity; equation line; kawahara equation ... See more keywords
Photo from wikipedia

Orbital stability of periodic traveling wave solutions for the Kawahara equation

Sign Up to like & get
recommendations! Published in 2017 at "Journal of Mathematical Physics"

DOI: 10.1063/1.4980016

Abstract: In this paper, we investigate the orbital stability of periodic traveling waves for the Kawahara equation. We prove that the periodic traveling wave, under certain conditions, minimizes a convenient functional by using an adaptation of… read more here.

Keywords: stability periodic; periodic traveling; kawahara equation; orbital stability ... See more keywords
Photo by lensingmyworld from unsplash

A novel conservative numerical approximation scheme for the Rosenau-Kawahara equation

Sign Up to like & get
recommendations! Published in 2023 at "Demonstratio Mathematica"

DOI: 10.1515/dema-2022-0204

Abstract: Abstract In this article, a numerical solution for the Rosenau-Kawahara equation is considered. A new conservative numerical approximation scheme is presented to solve the initial boundary value problem of the Rosenau-Kawahara equation, which preserves the… read more here.

Keywords: conservative numerical; scheme; rosenau kawahara; kawahara equation ... See more keywords
Photo by saadahmad_umn from unsplash

All Traveling Wave Exact Solutions of the Kawahara Equation Using the Complex Method

Sign Up to like & get
recommendations! Published in 2022 at "Axioms"

DOI: 10.3390/axioms11070330

Abstract: In this article, we prove that the ⟨p,q⟩ condition holds, first by using the Fuchs index of the complex Kawahara equation, and then proving that all meromorphic solutions of complex Kawahara equations belong to the… read more here.

Keywords: complex method; equation; exact solutions; kawahara equation ... See more keywords
Photo by aleexcif from unsplash

Novel Approximate Analytical Solutions to the Nonplanar Modified Kawahara Equation and Modeling Nonlinear Structures in Electronegative Plasmas

Sign Up to like & get
recommendations! Published in 2022 at "Symmetry"

DOI: 10.3390/sym15010097

Abstract: In this investigation, the nonplanar (spherical and cylindrical) modified fifth-order Korteweg–de Vries (nmKdV5) equation, otherwise known as the nonplanar modified Kawahara equation (nmKE), is solved using the ansatz approach. Two general formulas for the semi-analytical… read more here.

Keywords: modified kawahara; electronegative plasmas; nonplanar modified; kawahara equation ... See more keywords
Photo by whaleitsjessica from unsplash

On the Modified Laplace Homotopy Perturbation Method for Solving Damped Modified Kawahara Equation and Its Application in a Fluid

Sign Up to like & get
recommendations! Published in 2023 at "Symmetry"

DOI: 10.3390/sym15020394

Abstract: The manuscript solves a modified Kawahara equation (mKE) within two cases with and without a damping term by applying the Laplace homotopy perturbation method (LHPM). Since the damped mKE is non-integrable (i.e., it does not… read more here.

Keywords: laplace homotopy; kawahara equation; method; modified kawahara ... See more keywords