A family of non-Darboux-integrable quadratic polynomial differential systems with algebraic solutions of arbitrarily high degree

Applied Mathematics Letters

Volumn 16, Issue 6, 2003, Pages 833-837

  Chavarriga, J ^a   Grau, M ^a  

^a UNIVERSITY OF LLEIDA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; INTEGRAL EQUATIONS; INTEGRATION; MATHEMATICAL TRANSFORMATIONS; POLYNOMIALS; RICCATI EQUATIONS; THEOREM PROVING;

ALGEBRAIC SOLUTIONS; DARBOUX INTEGRABILITY; HERMITE POLYNOMIALS; QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0141573474     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(03)90004-8     Document Type: Article

References (7)

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4. J. Moulin Ollagnier, About a conjecture on quadratic vector fields, J. Pure Appl. Algebra 165 (2), 227-234, (2001).
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