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   Articles with "modified kawahara" as a keyword



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

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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
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Simulation Studies on the Dissipative Modified Kawahara Solitons in a Complex Plasma

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recommendations! Published in 2022 at "Symmetry"

DOI: 10.3390/sym15010057

Abstract: In this work, a damped modified Kawahara equation (mKE) with cubic nonlinearity and two dispersion terms including the third- and fifth-order derivatives is analyzed. We employ an effective semi-analytical method to achieve the goal set… read more here.

Keywords: dissipative modified; kawahara solitons; simulation studies; plasma ... See more keywords
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Novel Approximate Analytical Solutions to the Nonplanar Modified Kawahara Equation and Modeling Nonlinear Structures in Electronegative Plasmas

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

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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