SYMBOLIC COMPUTATION AND WEIERSTRASS ELLIPTIC FUNCTION SOLUTIONS OF THE DAVEY–STEWARTSON (DS) SYSTEM

DOI10.1142/S0129183103005224zbMath1079.76027MaRDI QIDQ5699955

Zhenya Yan

Publication date: 27 October 2005

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

zbMATH Keywords

solitary wavemodulational instabilitydoubly-periodic solutions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) NLS equations (nonlinear Schrödinger equations) (35Q55) Waves for incompressible viscous fluids (76D33)

Cites Work

• Extended Jacobian elliptic function algorithm with symbolic computation to construct new doubly-periodic solutions of nonlinear differential equations
• The extended Jacobian elliptic function expansion method and its application in the generalized Hirota-Satsuma coupled KdV system.
• Periodical solution to the nonlinear dissipative equation for surface waves in a convecting liquid layer
• Exact periodic solutions of the complex Ginzburg–Landau equation
• On three-dimensional packets of surface waves
• A class of exact, periodic solutions of nonlinear envelope equations
• Unnamed Item

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