Search Results - "Pramāṇa"
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Application of mathematical methods on the system of dynamical equations for the ion sound and Langmuir waves
Published in Pramāṇa (01-07-2019)“…We investigated the new exact travelling wave solutions of the system of equations for the ion sound and Langmuir waves (SEISLWs). In this work, we use the…”
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2
Optical soliton solutions to the Fokas–Lenells equation via sine-Gordon expansion method and (m+(G′/G))-expansion method
Published in Pramāṇa (01-12-2020)“…The purpose of this study is to find some novel soliton solutions of Fokas–Lenells (FL) equation where the perturbation terms are taken into account with…”
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3
A study of travelling, periodic, quasiperiodic and chaotic structures of perturbed Fokas–Lenells model
Published in Pramāṇa (2021)“…In this paper, a diverse range of travelling wave structures of perturbed Fokas–Lenells model (p-FLM) is obtained by using the extended ( G ′ / G 2 )…”
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4
The flow of magnetised convective Casson liquid via a porous channel with shrinking and stationary walls
Published in Pramāṇa (05-12-2022)“…Many engineers and scientists are working on various studies such as cosmetics, medicines, chemicals, oil, gas, food and many others due to the numerous…”
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5
Solitary wave solutions of two-dimensional nonlinear Kadomtsev–Petviashvili dynamic equation in dust-acoustic plasmas
Published in Pramāṇa (01-09-2017)“…Nonlinear two-dimensional Kadomtsev–Petviashvili (KP) equation governs the behaviour of nonlinear waves in dusty plasmas with variable dust charge and two…”
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6
Lump solutions with higher-order rational dispersion relations
Published in Pramāṇa (01-12-2020)“…This paper aims to explore a kind of lump solutions in nonlinear dispersive waves with higher-order rational dispersion relations. We show that the second…”
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7
Insight into the heat transfer across the dynamics of Burger fluid due to stretching and buoyancy forces when thermal radiation and heat source are significant
Published in Pramāṇa (27-11-2023)“…The heat transfer phenomenon in the flow of non-Newtonian fluids is important in the manufacturing processes of plastic products, cooling systems polymer…”
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8
Lie symmetry reductions and dynamics of soliton solutions of (2 + 1)-dimensional Pavlov equation
Published in Pramāṇa (01-12-2020)“…In the present article, Lie group of point transformations method is successfully applied to study the invariance properties of the ( 2 + 1 ) -dimensional…”
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9
Entropy generation of three-dimensional Bödewadt flow of water and hexanol base fluid suspended by Fe3O4 and MoS2 hybrid nanoparticles
Published in Pramāṇa (2021)“…In this study, three-dimensional Bödewadt hybrid nanofluid flow has been investigated. Base fluids are water and hexanol which contain Fe 3 O 4 and MoS 2 . The…”
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10
Generalised Lie similarity transformations for the unsteady flow and heat transfer under the influence of internal heating and thermal radiation
Published in Pramāṇa (09-12-2023)“…Lie similarity transformations for unsteady flow in a thin film under the influence of internal heating and thermal radiation have been deduced earlier. These…”
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11
Peristaltic transport of Jeffrey fluid in a rectangular duct through a porous medium under the effect of partial slip: An application to upgrade industrial sieves/filters
Published in Pramāṇa (01-09-2019)“…The peristaltic transport of Jeffrey fluid through the rectangular duct is investigated. The effect of porosity under the influence of partial slip is also…”
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12
Numerical approach of variable thermophysical features of dissipated viscous nanofluid comprising gyrotactic micro-organisms
Published in Pramāṇa (01-12-2020)“…This article addresses the heat and mass transport phenomena by performing a theoretical analysis of three-dimensional viscous fluid flow containing gyrotactic…”
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13
New analytical study of water waves described by coupled fractional variant Boussinesq equation in fluid dynamics
Published in Pramāṇa (01-08-2019)“…The main objective of this paper is to introduce an analytical study for the water wave solutions of coupled fractional variant Boussinesq equation, which is…”
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14
Unsteady three-dimensional magnetohydrodynamics flow of nanofluids over a decelerated rotating disk with uniform suction
Published in Pramāṇa (08-09-2022)“…This paper investigates the impact of uniform suction and magnetohydrodynamics on several nanofluids over a decelerating rotating disk. It deals with the…”
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15
Lump-type solutions and interaction phenomenon to the bidirectional Sawada–Kotera equation
Published in Pramāṇa (01-03-2019)“…In this paper, we use the Hirota bilinear method. With the help of symbolic calculation and applying this method, we solve the ( 2 + 1 ) -dimensional…”
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16
Applications of three methods for obtaining optical soliton solutions for the Lakshmanan–Porsezian–Daniel model with Kerr law nonlinearity
Published in Pramāṇa (01-12-2020)“…This paper examines new travelling wave solutions to the Lakshmanan–Porsezian–Daniel (LPD) model with Kerr nonlinearity using Bäcklund transformation method…”
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17
Chirped solitons in optical monomode fibres modelled with Chen–Lee–Liu equation
Published in Pramāṇa (01-12-2020)“…The paper studies the extraction of chirped soliton to Chen–Lee–Liu equation (CLLE) with the group velocity dispersion (GVD) and self-steeping coefficients…”
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18
Lie symmetry analysis, group-invariant solutions and dynamics of solitons to the (2+1)-dimensional Bogoyavlenskii–Schieff equation
Published in Pramāṇa (01-06-2021)“…In the present work, abundant group-invariant solutions of ( 2 + 1 )-dimensional Bogoyavlenskii–Schieff equation have been investigated using Lie symmetry…”
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19
Numerical and perturbation solutions of third-grade fluid in a porous channel: Boundary and thermal slip effects
Published in Pramāṇa (01-12-2020)“…The steady flow of a third-grade fluid due to pressure gradient is considered between parallel plane walls which are kept at different temperatures. The space…”
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20
Lie symmetry analysis, optimal system, exact solutions and dynamics of solitons of a (3+1)-dimensional generalised BKP–Boussinesq equation
Published in Pramāṇa (01-03-2022)“…The Lie symmetry technique is utilised to obtain three stages of similarity reductions, exact invariant solutions and dynamical wave structures of multiple…”
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