On the exact soliton solutions and different wave structures to the (2+1) dimensional Chaffee–Infante equation

Zhu, Chaoyang; Al-Dossari, Mawaheb; Rezapour, S.; Gunay, B.

doi:10.1016/j.rinp.2024.107431

Cited by 69 publications

(1 citation statement)

References 52 publications

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“…But, the combination of KdV, Burger and Fisher equation is seen in [22] at first time and the paper of Kocak is the first attempt on seeking the traveling wave solutions of a third-order dispersiondissipation-reaction model. Also, nonlinear evolution equations(NLEEs) are mathematical equations that describe the evolution of systems where nonlinear interactions play a significant role [23]. These equations arise in various branches of science and engineering, including diverse phenomena such as wave propagation [24], robust optimization [25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

A numerical aproach to dispersion-dissipation-reaction model: third order KdV-Burger-Fisher equation

Esen,

Karaagac,

Yagmurlu

et al. 2024

Phys. Scr.

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In this study, an efficient numerical method is applied to KdV-Burger-Fisher equationwhich is one of the dispersion-dissipation–reaction model. The present method is basedon the collocation method whose weight functions are taken from the family of the Diracdelta functions in finite element methods. The element functions are selected as quintictrigonometric B-spline basis. The error norms L2 and L∞ are calculated to measurethe efficiency of the method. Numerical solutions and error norms which are obtainedvia collocation method and trigonometric basis are presented in tables and simulationsof the solutions are exhibited as well. Additionally, stability analysis is investigated.

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Section: Introductionmentioning

confidence: 99%

A numerical aproach to dispersion-dissipation-reaction model: third order KdV-Burger-Fisher equation

Esen,

Karaagac,

Yagmurlu

et al. 2024

Phys. Scr.

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Impact of microorganisms on Blasius–Rayleigh–Stokes flow and heat transfer of nanofluid: A numerical study

Ahmad,

Nawaz,

Ali

et al. 2024

Z Angew Math Mech

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In this article, we present a numerical study of unsteady flow and heat transfer in a viscous‐based nanofluid, examining the impact of microorganisms on a moving surface emerging from a moving slot. This gives rise to a new type of boundary layer flow, which can resemble that over a stretching or shrinking surface depending on the motion of the slot. To solve the partial differential equations governing the bio‐convectional flow, we employ the Blasius–Rayleigh–Stokes variable and transform the equations into a corrected similar form. Our numerical solutions reveal the presence of dual solutions within a specific range of the moving slot parameter. Our findings have important implications for understanding the behavior of nanofluids and microorganisms in dynamic flow environments.

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Exploration of Soliton Solutions in Nonlinear Optics for the Third Order Klein-Fock-Gordon Equation and Nonlinear Maccari’s System

Ahmad,

Faridi,

Iqbal

et al. 2024

Int J Theor Phys

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On the exact soliton solutions and different wave structures to the (2+1) dimensional Chaffee–Infante equation

Cited by 69 publications

References 52 publications

A numerical aproach to dispersion-dissipation-reaction model: third order KdV-Burger-Fisher equation

A numerical aproach to dispersion-dissipation-reaction model: third order KdV-Burger-Fisher equation

Impact of microorganisms on Blasius–Rayleigh–Stokes flow and heat transfer of nanofluid: A numerical study

Exploration of Soliton Solutions in Nonlinear Optics for the Third Order Klein-Fock-Gordon Equation and Nonlinear Maccari’s System

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