Partial Differential Equations in Applied Mathematics
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".
Deadline for manuscript submissions: 20 May 2025 | Viewed by 91
Special Issue Editor
Interests: application of lie group analysis to differential equations and construction of conserved quantities; applications of results in science and engineering fields
Special Issue Information
Dear Colleagues,
Partial differential equations are employed in mathematical formulations to help solve various physical and other issues, such as electrostatic propagation, elasticity, fluid flow, electrodynamics, heat, and sound.
This Special Issue titled “Partial Differential Equations in Applied Mathematics” therefore facilitates the quick dissemination of original research in applied mathematics and the sciences through the use of partial differential equations and associated methods. Both analytical and numerical techniques are welcome for contributions. Every manuscript must be written in a way that is understandable to a wide range of scientists who are interested in applied partial differential equations and their use in physical and engineering fields. The topics discussed range from the Lie group method, inverse scattering transforms, Darboux and Bäcklund transformations, the Hirota bilinear method, and initial and boundary value problems to various other techniques such as the unified transform (Fokas method), Riemann–Hilbert problems, long-time asymptotes, Hamiltonian theory, and applied fluid mechanic problems.
We also equally welcome papers that focus on the mathematical modeling and analysis of travelling waves, solitons, lumps, optical solitons and non-smooth solitons, rogue waves, and breathers.
Dr. Oke Davies Davies Adeyemo
Guest Editor
Manuscript Submission Information
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Keywords
- lie group analysis and applications
- Darboux and Bäcklund transform
- Hirota bilinear technique
- d-bar formalism
- inverse scattering transforms
- applied fluid problems
- analytical methods
- Riemann–Hilbert problems
- Fokas approach
- Hamiltonian theory
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