scientific article

zbMath1464.35297MaRDI QIDQ3121868

Jörg Volkmann, Gerd Baumann

Publication date: 20 March 2019

Full work available at URL: http://diffjournal.spbu.ru/EN/numbers/2002.4/article.1.2.html

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zbMATH Keywords

Boussinesq equationLie algebraKdV equationinverse scattering methodself-similar solutions, Painlevé analysis

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Applications of Lie (super)algebras to physics, etc. (17B81) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Self-similar solutions to PDEs (35C06)

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Hidden symmetries and exact solutions of integro-differential Jaulent-Miodek evolution equation ⋮ N-solitons and cuspon waves solutions of \((2 + 1)\)-dimensional Broer-Kaup-Kupershmidt equations via hidden symmetries of Lie optimal system ⋮ Analysis of \((3 + 1)\)-dimensional unsteady gas flow using optimal system of Lie symmetries

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