Contingent relations for Klein–Gordon equations

Mathebula, A.; Jamal, Sameerah

doi:10.1007/s12648-020-01810-7

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2021

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Cited by 4 publications

(1 citation statement)

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“…For more details on the application of symmetries on PDEs and on physical problems we refer the reader in [24][25][26][27][28][29][30] and references therein.…”

Section: Preliminariesmentioning

confidence: 99%

Singularity analysis and analytic solutions for the Benney-Gjevik equations

Paliathanasis,

Leon,

Leach

2021

Preprint

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“…For more details on the application of symmetries on PDEs and on physical problems we refer the reader in [24][25][26][27][28][29][30] and references therein.…”

Section: Preliminariesmentioning

confidence: 99%

Singularity analysis and analytic solutions for the Benney-Gjevik equations

Paliathanasis,

Leon,

Leach

2021

Preprint

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Analytical approximations to the l-wave solutions of the Klein–Gordon equation with position-dependent mass for mixed vector and scalar Hulthén-type potentials by using SUSYQM approach

Zaghou

Benamira²,

Guéchi³

2021

Indian J Phys

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One-dimensional optimal system and similarity transformations for the 3 + 1 Kudryashov–Sinelshchikov equation

Paliathanasis

2021

International Journal of Nonlinear Sciences and Numerical Simulation

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We apply the Lie theory to determine the infinitesimal generators of the one-parameter point transformations which leave invariant the 3 + 1 Kudryashov–Sinelshchikov equation. We solve the classification problem of the one-dimensional optimal system, while we derive all the possible independent Lie invariants; that is, we determine all the independent similarity transformations which lead to different reductions. For an application, the results are applied to prove the existence of travel-wave solutions. Furthermore, the method of singularity analysis is applied where we show that the 3 + 1 Kudryashov–Sinelshchikov equation possess the Painlevé property and its solution can be written by using a Laurent expansion.

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Contingent relations for Klein–Gordon equations

Cited by 4 publications

References 25 publications

Singularity analysis and analytic solutions for the Benney-Gjevik equations

Singularity analysis and analytic solutions for the Benney-Gjevik equations

Analytical approximations to the l-wave solutions of the Klein–Gordon equation with position-dependent mass for mixed vector and scalar Hulthén-type potentials by using SUSYQM approach

One-dimensional optimal system and similarity transformations for the 3 + 1 Kudryashov–Sinelshchikov equation

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