A new analysis for fractional model of regularized long‐wave equation arising in ion acoustic plasma waves
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DOI: 10.1002/mma.4414
Abstract: The key purpose of the present work is to constitute a numerical scheme based on q-homotopy analysis transform method to examine the fractional model of regularized long-wave equation. The regularized long-wave equation explains the shallow… read more here.
Keywords: analysis; fractional model; regularized long; long wave ... See more keywords
Analysis and numerical computations of the fractional regularized long‐wave equation with damping term
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DOI: 10.1002/mma.6343
Abstract: This study explores the fractional damped generalized regularized long‐wave equation in the sense of Caputo, Atangana‐Baleanu, and Caputo‐Fabrizio fractional derivatives. With the aid of fixed‐point theorem in the Atangana‐Baleanu fractional derivative with Mittag‐Leffler–type kernel, we… read more here.
Keywords: wave equation; long wave; regularized long; atangana baleanu ... See more keywords
Orbital Stability and Instability of Solitary Waves for a Class of Dispersive Symmetric Regularized Long-Wave Equation
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DOI: 10.1007/s00009-019-1361-7
Abstract: This paper studies the orbital stability and instability of solitary wave solutions of the generalized symmetric regularized long-wave-type equations. It is shown that a traveling wave may be stable or unstable depending on the range… read more here.
Keywords: regularized long; stability instability; long wave; symmetric regularized ... See more keywords
Convergence analysis of the higher-order global mass-preserving numerical method for the symmetric regularized long-wave equation
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DOI: 10.1080/00207160.2020.1792451
Abstract: A higher-order uncoupled finite difference scheme is proposed and analysed to approximate the solutions of the symmetric regularized long-wave equation. The finite difference technique preserving the global conservation laws precisely on any time-space regions gives… read more here.
Keywords: order; higher order; scheme; regularized long ... See more keywords
Investigation of exact solitons to the quartic Rosenau-Kawahara-Regularized-Long-Wave fluid model with fractional derivative and qualitative analysis
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DOI: 10.1088/1402-4896/ad9d92
Abstract: In this research, the exact solitons to an important wave equation, namely, the quartic Rosenau-Kawahara-Regularized-Long-Wave (QRKRLW) equation are obtained along with an effective definition of fractional derivative, Truncated M-fractional. This model has much importance in… read more here.
Keywords: kawahara regularized; regularized long; analysis; exact solitons ... See more keywords
Asymptotic analysis to Van der Pol equation and regularized long-wave equation
Sign Up to like & getrecommendations! Published in 2025 at "Modern Physics Letters B"
DOI: 10.1142/s021798492550109x
Abstract: In this paper, we introduce a renormalization (TR) method based on Taylor expansion, which is used to solve nonlinear vibration problems and soliton equations. It provides a new mathematical tool for obtaining the asymptotic analytic… read more here.
Keywords: equation; van der; regularized long; der pol ... See more keywords
Fractional view analytical analysis of generalized regularized long wave equation
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DOI: 10.1515/phys-2024-0025
Abstract: Abstract In this research study, we focus on the generalized regularized long wave equation and the modified regularized long wave equation, which play pivotal roles in characterizing plasma waves in oceans and ion acoustic waves… read more here.
Keywords: generalized regularized; fractional view; regularized long; wave equation ... See more keywords
Construction of M-shaped solitons for a modified regularized long-wave equation via Hirota's bilinear method
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DOI: 10.1515/phys-2024-0057
Abstract: Abstract This study examines the effects of various M-shaped water wave shapes on coastal environments for the modified regularized long-wave equation (MRLWE). This work explores the complex dynamics of sediment transport, erosion, and coastal stability… read more here.
Keywords: regularized long; wave equation; hirota bilinear; long wave ... See more keywords
Dynamical Behavior of Solitary Waves for the Space-Fractional Stochastic Regularized Long Wave Equation via Two Distinct Approaches
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DOI: 10.3390/math13132193
Abstract: This study investigates the influence of multiplicative noise—modeled by a Wiener process—and spatial-fractional derivatives on the dynamics of the space-fractional stochastic Regularized Long Wave equation. By employing a complete discriminant polynomial system, we derive novel… read more here.
Keywords: regularized long; fractional stochastic; wave equation; long wave ... See more keywords
Quartic trigonometric B-spline algorithm for numerical solution of the regularized long wave equation
Sign Up to like & getrecommendations! Published in 2019 at "TURKISH JOURNAL OF MATHEMATICS"
DOI: 10.3906/mat-1804-55
Abstract: In this paper, an application of the quartic trigonometric B-spline finite element method is used to solve the regularized long wave equation numerically. This approach involves a Galerkin method based on the quartic trigonometric B-spline… read more here.
Keywords: long wave; quartic trigonometric; trigonometric spline; wave equation ... See more keywords
A Good Numerical Method for the Solution of Generalized Regularized Long Wave Equation
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DOI: 10.5539/mas.v11n6p72
Abstract: The generalized regularized long wave equation is very important that can be applied in the field of physics, science and technology. Some authors have put forward many different numerical method, but the precision is not… read more here.
Keywords: numerical method; method; regularized long; long wave ... See more keywords