COMPUTERIZED SYMBOLIC COMPUTATION FOR THE CYLINDRICAL KORTEWEG–DE VRIES EQUATION

DOI10.1142/S0129183199001066zbMath0945.65104OpenAlexW2049987405MaRDI QIDQ4488240

Bo Tian, Yi-Tian Gao

Publication date: 5 July 2000

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129183199001066

zbMATH Keywords

Painlevé equationsymbolic computationsimilarity reductionsKorteweg-de Vries equationrational solutionWeierstrass elliptic function

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (2)

SIMILARITY REDUCTIONS AND INTEGRABILITY FOR THE BRUSSELATOR REACTION–DIFFUSION MODEL WITH SYMBOLIC COMPUTATION ⋮ On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation

Cites Work

• Report on new similarity reductions of a variable-coefficient sine-Gordon-type equation
• New similarity reductions of the Boussinesq equation
• The Connection between Partial Differential Equations Soluble by Inverse Scattering and Ordinary Differential Equations of Painlevé Type
• Cylindrical Korteweg de Vries equation and Painleve property
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I

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