From the 1 of 8 linked papers with an AI index.
8 papers
Painlevé Integrability, Auto-Bäcklund Transformation and the exact solutions of (1+2) Kudryashov-Sinelshchikov (KS) equation
Apeksha Patil, Amlan Kanti Halder, Rajeswari Seshadri
In this research work, we consider a nonlinear fourth-order (1+2)-dimensional Kudryashov-Sinelshchikov (KS) equation which represents the wave propagation of pressures in liquids t…
Lie symmetry, Painlevé analysis and Conservation laws for (1+2)-Dimensional Kudryashov-Sinelshchikov (KS) equation
Apeksha Patil, Amlan Kanti Halder, Rajeswari Seshadri
The wave propagation of pressures in liquids that contain gas bubbles are an important concern in fluid dynamics and mathematical physics. The Kudryashov Sinelshchikov equation off…
Classical Symmetries and Painleve Analysis for the (1+3) Kudryashov-Sinelshchikov Equation
Amlan K Halder, Rajeswari Seshadri, A Paliathanasis +1
The paper investigates the integrability of the (1+3)-dimensional Kudryashov‑Sinelshchikov equation by analyzing its Lie point symmetries and applying Painlevé singularity analysis…
Viaggiu holographic dark energy in light of DESI DR2
Amlan K. Halder, Andronikos Paliathanasis, Stefano Viaggiu +2
We test the cosmological viability of the Viaggiu holographic dark energy (VHDE) model by using late-time observational data. In particular, we place constraints on the free parame…
Cosmological Interactions with Phantom Scalar Field: Revisiting Background Phase-Space Analysis with Compactified Variables
Genly Leon, Daya Shankar, Amlan Halder +1
Energy transfer in the dark sector of the universe gives rise to new phenomena of special interest in modern cosmology. When dark energy is modeled as a phantom scalar field, inter…
Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame
Andronikos Paliathanasis, Amlan Halder
We perform a detailed Lie symmetry analysis for the hyperbolic system of partial differential equations that describe the one-dimensional Shallow Water magnetohydrodynamics equatio…