Parametric analysis of dust ion acoustic waves in superthermal plasmas through non-autonomous KdV framework

Chadha, Naresh M.; Tomar, Shruti; Raut, Santanu

doi:10.1016/j.cnsns.2023.107269

Communications in Nonlinear Science and Numerical Simulation

2023

DOI: 10.1016/j.cnsns.2023.107269

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Parametric analysis of dust ion acoustic waves in superthermal plasmas through non-autonomous KdV framework

Naresh M. Chadha

Shruti Tomar

Santanu Raut³

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Cited by 12 publications

References 34 publications

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Existence of periodic wave of a BBM equation with delayed convection and weak diffusion

Wei

2023

Nonlinear Dyn

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This paper focus on the existence and uniqueness of periodic waves for a BBM equation with local strong generic delay convection and weak diffusion. By analyzing the corresponding Hamiltonian system, we aim to obtain the existence of periodic orbit by constructing a locally invariant manifold according to geometric singular perturbation theory. Chebyshev criteria is applied to investigate the ratio of Abelian integrals. We prove the existence and uniqueness of periodic wave solution with sufficiently small perturbation parameter. Moreover, the upper and lower bounds of the limiting wave speed are given. Keywordsdelayed BBM equation • geometric singular perturbation theory • periodic wave • Abelian integrals Mathematics Subject Classification (2020) 34C25 • 34C60 • 37C27 1 IntroductionTraveling wave solutions plays an important role in many mathematically modelled phenomena. It can be applied in comparison principles and characterize the long-term behaviour in numerous situations in conformance with

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Existence of periodic wave of a BBM equation with delayed convection and weak diffusion

Wei

2023

Nonlinear Dyn

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Characteristic of integrability of nonautonomous KP-modified KP equation and its qualitative studies: soliton, shock, periodic waves, breather, positons and soliton interactions

Raut,

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Roy

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Nonlinear Dyn

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On the integrability, multi-shocks, high-order kinky-breathers, L-lump–kink solutions for the non-autonomous perturbed potential Kadomtsev–Petviashvili equation

Alhejaili,

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Parametric analysis of dust ion acoustic waves in superthermal plasmas through non-autonomous KdV framework

Cited by 12 publications

References 34 publications

Existence of periodic wave of a BBM equation with delayed convection and weak diffusion

Existence of periodic wave of a BBM equation with delayed convection and weak diffusion

Characteristic of integrability of nonautonomous KP-modified KP equation and its qualitative studies: soliton, shock, periodic waves, breather, positons and soliton interactions

On the integrability, multi-shocks, high-order kinky-breathers, L-lump–kink solutions for the non-autonomous perturbed potential Kadomtsev–Petviashvili equation

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