Proof of the absence of elliptic solutions of the cubic complex Ginzburg-Landau equation
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Publication:1048033
DOI10.1007/s11232-006-0013-9zbMath1177.35232arXivnlin/0503009OpenAlexW2363449594MaRDI QIDQ1048033
Publication date: 9 January 2010
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0503009
Related Items (5)
All meromorphic traveling waves of cubic and quintic complex Ginzburg-Landau equations ⋮ Elliptic solutions for a family of fifth order nonlinear evolution equations ⋮ Exact solutions of the Swift-Hohenberg equation with dispersion ⋮ On elliptic solutions of nonlinear ordinary differential equations ⋮ Explicit expressions for meromorphic solutions of autonomous nonlinear ordinary differential equations
Cites Work
- Exact travelling wave solutions of some nonlinear evolutionary equations
- Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
- Painlevé expansions for nonintegrable evolution equations
- Linearity inside nonlinearity: Exact solutions to the complex Ginzburg-Landau equation
- Analytic solitary waves of nonintegrable equations
- Non-existence of elliptic travelling wave solutions of the complex Ginzburg--Landau equation
- Constructing solutions for the generalized Hénon-Heiles system through the Painlevé test
- The world of the complex Ginzburg-Landau equation
- Link between solitary waves and projective Riccati equations
- An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolution equations
- Pattern formation outside of equilibrium
- Modulated amplitude waves and defect formation in the one-dimensional complex Ginzburg-Landau equation
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