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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 integrability of the Kudryashov-Sinelshchikov equation in (1+3) dimension is detected using its point symmetries and the Singularity analysis method. The symmetries mostly poin…
Symmetries and Lie Algebra of Ramanujan Equation
Amlan K Halder, Rajeswari Seshadri, R Sinuvasan +1
Symmetry analysis of Ramanujan's system of differential equations is performed by representing it as a third-order equation. A new system consisting of a second-order and a first-o…
Lie Symmetry Analysis and Similarity Solutions for the Jimbo-Miwa Equation and Generalisations
Amlan K Halder, Andronikos Paliathanasis, Rajeswari Seshadri +1
We study the Jimbo-Miwa equation and two of its extended forms, as proposed by Wazwaz et al, using Lie's group approach. Interestingly, the travelling-wave solutions for all the th…
Singularity Analysis of a Variant of the Painlev{é}--Ince Equation
Amlan K Halder, Andronikos Paliathanasis, PGL Leach
We examine by singularity analysis an equation derived by reduction using Lie point symmetries from the Euler--Bernoulli Beam equation which is the Painlevé--Ince Equation with add…