Lax representation and a quadratic rational first integral for second-order differential equations with cubic nonlinearity

Author:

Sinelshchikov Dmitry I.,Guha Partha,Choudhury A. Ghose

Funder

Khalifa University of Science, Technology and Research

Nacionalnyj Issledovatelskij Universitet - Vysshkaja Shkola Jekonomiki Sankt-Peterburg

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference22 articles.

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2. Symmetries of nonlinear differential equations and linearisation;Sarlet;J Phys A Math Gen,1987

3. Tresse AM. Determination des invariants ponctuels de lequation differentielle ordinaire du second ordre y=(x,y,y′). In: Preisschriften der furstlichen Jablonowskischen Geselschaft XXXII 1896 Leipzig, Herzel.

4. Sur les variétés à connexion projective;Cartan;Bull Sot Math Fr,1924

5. Is my ODE a Painlevé equation in disguise?;Hietarinta;J Nonlinear Math Phys,2002

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