A systematic method is developed which allows one to identify certain important classes of evolution equations which can be solved by the method of inverse scattering. The form of each evolution equation is characterized by the dispersion relation of its associated linearized version and an integro‐differential operator. A comprehensive presentation of the inverse scattering method…
Studies in Applied Mathematics Template
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About the Studies in Applied Mathematics format
Studies in Applied Mathematics is a peer-reviewed journal published by Wiley, covering Nonlinear Waves and Solitons, Nonlinear Photonic Systems, Advanced Mathematical Physics Problems.
| Publisher | Wiley |
|---|---|
| Reference style | Author–year (Chicago) Author–year — (Smith, 2023) in the text Smith, Ada, Ben Jones, and Cara Lee. 2023. "A Representative Article Title." Studies in Applied Mathematics 12 (3): 45–58.
Formats any DOI in Studies in Applied Mathematics style. No sign-up. |
| Publishes research in | Nonlinear Waves and Solitons Nonlinear Photonic Systems Advanced Mathematical Physics Problems Fluid Dynamics and Turbulent Flows Ocean Waves and Remote Sensing |
| ISSN | 0022-2526 |
| Citation impact (2-yr) | 1.56 |
| h-index | 110 |
| i10-index | 947 |
| Total citations | 58,475 |
| Article processing charge | $4,120 |
| Top institutions publishing here | Massachusetts Institute of Technology |
| Journal website | www.wiley.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
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Most-cited papers in Studies in Applied Mathematics
The equation dealt with in this paper is urn:x-wiley:00222526:media:sapm197757293:sapm197757293-math-0001 in three dimensions. It comes from minimizing the functional urn:x-wiley:00222526:media:sapm197757293:sapm197757293-math-0002 which, in turn, comes from an approximation to the Hartree‐Fock theory of a plasma. It describes an electron trapped in its own hole. The interesting mathematical aspect of the problem is that is not convex, and…
A theoretical justification is given for an empirical boundary condition proposed by Beavers and Joseph [1]. The method consists of first using a statistical approach to extend Darcy's law to non homogeneous porous medium. The limiting case of a step function distribution of permeability and porosity is then examined by boundary layer techniques, and shown…
A detailed analysis is given to the solution of the cubic Schrödinger equation iq t + q xx + 2| q | 2 q = 0 under the boundary conditions as | x |→∞. The inverse‐scattering technique is used, and the asymptotic state is a series of solitons. However, there is no soliton whose amplitude…
A model of the nonlinear dynamics of reverberating on‐center off‐surround networks of nerve cells, or of cell populations, is analysed. The on‐center off‐surround anatomy allows patterns to be processed across populations without saturating the populations' response to large inputs. The signals between populations are made sigmoid functions of population activity in order to quench network…