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Everything about Fokas method
The Fokas method, or unified transform, is an algorithmic procedure for analysing boundary value problems for linear partial differential equations and for an important class of nonlinear PDEs belonging to the so-called integrable systems. It is named after Greek mathematician Athanassios S. Fokas. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Fokas methodA 5-minute orientation
- Skim a recent paper: Derivation of optical solitons of dimensionless Fokas-Lenells equation with perturbation term using Sardar sub-equation methodInfluential work since 2022
- Pick up a classic book: Modern Mathematical Methods for Scientists and EngineersThe most-reprinted book on the subject
- Read the landmark paper: Optical soliton solutions to the Fokas–Lenells equation via sine-Gordon expansion method and $$(m+({G'}/{G}))$$-expansion methodCited 134 times
- Go sideways: Schauder estimatesA closely related topic
- Go sideways: Dirichlet's ellipsoidal problemA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Optical soliton solutions to the Fokas–Lenells equation via sine-Gordon expansion method and $$(m+({G'}/{G}))$$-expansion method
The Method of Fokas for Solving Linear Partial Differential Equations
The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method
Harmonizing wave solutions to the Fokas-Lenells model through the generalized Kudryashov method
Parameter limit method and its application in the (4+1)-dimensional Fokas equation
Exp-Function Method for Generalized Travelling Solutions of Calogero-Degasperis-Fokas Equation
Direct algebraic method for solving fractional Fokas equation
Optical solitons pertutabation with Fokas-Lenells equation by exp(−ϕ(ξ))-expansion method
🆕 Influential since 2022
Derivation of optical solitons of dimensionless Fokas-Lenells equation with perturbation term using Sardar sub-equation method
Optical solutions for perturbed conformable Fokas–Lenells equation via Kudryashov auxiliary equation method
A comparative study between obtained solutions of the coupled Fokas–Lenells equations by Sine-Gordon expansion method and rapidly convergent approximation method
Variety of optical solitons for perturbed Fokas–Lenells equation through modified exponential rational function method and other distinct schemes
On Barenblatt's pseudoparabolic equation with forcing on the half‐line via the Fokas method
📚 Books worth reading
- 📕Modern Mathematical Methods for Scientists and EngineersA. S. Fokas, Efthimios Kaxiras · 2022
A unified approach to boundary value problemsA. S. Fokas · 2008
Highly oscillatory problemsBjörn Engquist · 2009
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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