ON INTEGRATION OF THE LOADED KORTEWEG-DE VRIES EQUATION IN THE CLASS OF RAPIDLY DECREASING FUNCTIONS
Aknazar Hasanov, U. A. Hoitmetov, L Faddeev, A Fokas, M Ablowitz, C Gardner, I Greene, M Kruskal, R Miura, I Guseinov, U Hoitmetov, A Khasanov, U Hoitmetov, A Khasanov, M Matyakubov, A Khasanov, G Urazboyev, A Kozhanov, P Lax, J Leon, A Latifi, A Lugovtsov, A Lugovtsov, V Mel'nikov, A Nakhushev, G Urazboyev, A Khasanov, A Yakhshimuratov, M Matyokubov, V Zakharov, S Manakov, S Novikov, L Pitaevsky
2021Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan18 citationsDOIOpen Access PDF
Abstract
In this work, the inverse scattering method is applied to the integration of the loaded Korteweg-de Vries equation in the class of rapidly decreasing functions. The multisoliton solutions of the loaded Korteweg-de Vries equation are found.
Topics & Concepts
Class (philosophy)Korteweg–de Vries equationMathematicsMathematical physicsPhysicsApplied mathematicsMathematical analysisPhilosophyNonlinear systemEpistemologyQuantum mechanicsElectromagnetic Simulation and Numerical MethodsElectromagnetic Scattering and Analysis