Exact soliton solutions of the one-dimensional complex Swift-Hohenberg equation
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Publication:1852650
DOI10.1016/S0167-2789(02)00708-XzbMath1006.35067arXivnlin/0209045OpenAlexW3098812495MaRDI QIDQ1852650
Nail N. Akhmediev, Adrian Ankiewicz, Ken-Ichi Maruno
Publication date: 7 January 2003
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0209045
Second-order nonlinear hyperbolic equations (35L70) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05)
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Cites Work
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- 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
- Exact solutions of the one-dimensional quintic complex Ginzburg-Landau equation
- Singularity analysis, balance equations and soliton solution of the nonlocal complex Ginzburg-Landau equation
- Universal description of laser dynamics near threshold
- Localized patterns for the quintic complex Swift-Hohenberg equation
- The world of the complex Ginzburg-Landau equation
- The Painlevé property for partial differential equations
- Nonlinear Schrödinger equation including growth and damping
- Solitary and Periodic Solutions of Nonlinear Nonintegrable Equations
- A class of exact, periodic solutions of nonlinear envelope equations
- Pattern formation outside of equilibrium