The paper aims to provide a brief overview of soliton solutions obtained through the Hirota direct method. A bilinear formulation of soliton solutions in both (1+1)-dimensions and (2+1)-dimensions is discussed, together with applications to various integrable equations. The Hirota conditions for N-soliton solutions are analyzed and a few open questions regarding higher-dimensional cases and generalized…
Partial Differential Equations in Applied Mathematics Template
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About the Partial Differential Equations in Applied Mathematics format
Partial Differential Equations in Applied Mathematics is a peer-reviewed journal published by Elsevier, covering Fractional Differential Equations Solutions, Nonlinear Waves and Solitons, Nanofluid Flow and Heat Transfer.
| Publisher | Elsevier |
|---|---|
| Reference style | Numbered (Elsevier) Numbered — [1], [2] in the text [1] A. Smith, B. Jones, C. Lee, A representative article title, Partial Differential Equations in Applied Mathematics 12 (2023) 45–58.
Formats any DOI in Partial Differential Equations in Applied Mathematics style. No sign-up. |
| Publishes research in | Fractional Differential Equations Solutions Nonlinear Waves and Solitons Nanofluid Flow and Heat Transfer Nonlinear Photonic Systems Heat Transfer Mechanisms |
| ISSN | 2666-8181 |
| Citation impact (2-yr) | 4.82 |
| h-index | 41 |
| i10-index | 305 |
| Total citations | 10,030 |
| Article processing charge | $1,000 |
| Open access | Yes |
| Top institutions publishing here | Lebanese American University |
| Journal website | www.journals.elsevier.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
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Most-cited papers in Partial Differential Equations in Applied Mathematics
We aim to discuss about how to construct and classify nonlocal PT-symmetric integrable equations via nonlocal group reductions of matrix spectral problems. The nonlocalities considered are reverse-space, reverse-time and reverse-spacetime, each of which can involve either the transpose or the Hermitian transpose. The associated spectral problems are used to formulate a kind of Riemann–Hilbert problems…
Hybrid nanofluid are considered as advanced nanofluid, as shown by their thermal properties and budding benefits that aid the drive of increasing the heat transfer rate. This article deals with the MHD natural convective flow of micropolar CuO-Ag/water hybrid nanofluid over a plate placed vertically in a porous medium with the involvement of the suction/injection…
The present research paper aims to study the effect Heat source on an MHD Casson fluid through a vertical fluctuating porous plate. Dimensional non-linear coupled differential equations transformed into dimensional less by introducing similarity variables. The transformed nondimensional ordinary differential equations of velocity, temperature is solved by Galerkin element technique. The influence of flow parameters…
Sequel to the fact that nanofluids exhibit greater thermal resistance and noting the applications of non-Newtonian (Maxwell) liquid flow on a stretching sheet with suspended nanoparticles TC4 (Ti-6Al-4 V), the current mathematical model is designed by considering the influence of magnetic dipole. The heat transfer in a two-dimensional flow of Maxwell nanoliquid over a stretching…