Quark-gluon plasma phase transition using cluster expansion method

Kumar, A.M. Syam; Prasanth, J P; Bannur, Vishnu M.

doi:10.1016/j.physa.2015.03.015

Cited by 26 publications

(2 citation statements)

References 11 publications

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“…Many well‐known models have been developed to describe the dynamics of nonlinear waves that have emerged in the recent area of modern science and engineering, such as the equation Kortewegde Vries (KdV), Kortewegde Vries Burgers equation, modified Kortewegde Vries (mKdV) equation, modified Kortewegde Vries KadomtsevPetviashvili (mKdVKP) equation, Boussinesq equation, Zakharov‐Kuznetsov‐Burgers equation, modified Kortewegde Vries ZakharovKuznetsov equation, Perergrine equation, Kawahara equation, BenjaminBonaMahoney equation, Kadomtsev PetviashviliBenjaminBonaMahony (KPBBM) equation, coupled Kortewegde Vries equation, coupled Boussinesq equation, Gardner equation, a combination of KdV and mKdV equations. Some of these techniques are used by distinct authors to discover the solitary waves solution of nonlinear evolution equations, these methods include: the modified extended mapping method, tanhsech method and the extended tanhcoth method, Kudryashov method, expansion method, auxiliary equation method, inverse scattering transform method, first integral method, Jacobi elliptic function method, modified simple equation method, lumped Galerkin method, extended simple equation method, homogeneous balance method, Darboux transformation, Backland transformation and modified extended direct algebraic method . Many of these methods are problem dependent.…”

Section: Introductionmentioning

confidence: 99%

Jacobi Elliptic Function Solutions and Traveling Wave Solutions of the (2 + 1)‐Dimensional Gardner‐KP Equation

Boateng

Yang

Yaro

et al. 2020

Math Methods in App Sciences

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The fully integrable KP equation is one of the models that describes the evolution of nonlinear waves, the expansion of the well‐known KdV equation, where the impacts of surface tension and viscosity are negligible. This paper uses the Modified Extended Direct Algebraic (MEDA) method to build fresh exact, periodic, trigonometric, hyperbolic, rational, triangular and soliton alternatives for the (2 + 1)‐dimensional Gardner KP equation. These solutions that we discover in this article will help us understand the phenomena of the (2 + 1)‐dimensional Gardner KP equation. Comparing the study in this paper and existing work, we find more exact solutions with soliton and periodic structures and the rational function solution in this paper is more general than the rational solution in existing literature. Most of the Jacobi elliptic function solutions and the mixed Jacobi elliptic function solutions to the (2 + 1)‐dimensional Gardner KP equation discovered in this paper, to the best of our highest understanding are not seen in any existing paper until now.

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Section: Introductionmentioning

confidence: 99%

Jacobi Elliptic Function Solutions and Traveling Wave Solutions of the (2 + 1)‐Dimensional Gardner‐KP Equation

Boateng

Yang

Yaro

et al. 2020

Math Methods in App Sciences

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“…Several methods have been constructed for finding exact traveling wave solutions of nonlinear PDEs in the form of soliton, solitary wave, and elliptic function solutions such as Hirota's bilinear method [2], Jacobi elliptic function method [3], semiinverse variational principle [4], Darboux transformation [5,6], expansion method [7,8], extended direct algebraic method [9,10], auxiliary method [11], sine-cosine method [12], the Kudryashov method [13], and extended simple equation method [14]. The study of solutions, structures, interaction, and further properties of solitons and solitary wave solutions gained much consideration .…”

Section: Introductionmentioning

confidence: 99%

New solitary wave solutions of some nonlinear models and their applications

Ali

Seadawy

2018

Adv Differ Equ

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In this manuscript, we utilize the algorithm of (G /G) expansion method to construct new solutions of three important models, the Ablowitz-Kaup-Newell-Segur water wave equation, the (2 + 1)-dimensional Boussinesq equation, and the (3 + 1)-dimensional Yu-Toda-Sasa-Fukuyama equation, having numerous application in plasma physics, fluid dynamics, and optical fibers. Some new types of traveling wave solutions are acquired, which have not been obtained previously by using this our new technique. The achieved solutions appear with all necessary constraint conditions, which are compulsory for them to exist. The constructed new solutions have vital applications in applied sciences. To understand the physical phenomena of these models, we have also presented graphically movements of the obtained results. It is shown that the our technique provides a more powerful mathematical tool for constructing exact traveling wave solutions for many other nonlinear waves models in mathematics and physics.

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Rotating Boson Star Under Weak Gravity Potential

Jarwal

Singh

2018

XXII DAE High Energy Physics Symposium

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Quark-gluon plasma phase transition using cluster expansion method

Cited by 26 publications

References 11 publications

Jacobi Elliptic Function Solutions and Traveling Wave Solutions of the (2 + 1)‐Dimensional Gardner‐KP Equation

Jacobi Elliptic Function Solutions and Traveling Wave Solutions of the (2 + 1)‐Dimensional Gardner‐KP Equation

New solitary wave solutions of some nonlinear models and their applications

Rotating Boson Star Under Weak Gravity Potential

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