Journal ArticleDOI
Bilinear forms, bilinear Bäcklund transformation, soliton and breather interactions of a damped variable-coefficient fifth-order modified Korteweg–de Vries equation for the surface waves in a strait or large channel
Bruna da Silva Vieira Capanema,Liu-Qing Li,Samira Soares Santiago,Yi-Tian Gao,Xin Yu,Ting-Ting Jia,Lei Hu,Cai-Yin Zhang +7 more
TLDR
In this paper, a damped variable-coefficient fifth-order modified Kortewegde Vries equation for the small-amplitude surface waves in a strait or large channel of slowly-varying depth and width and non-vanishing vorticity is investigated.About:
This article is published in Chinese Journal of Physics.The article was published on 2021-09-23. It has received 31 citations till now. The article focuses on the topics: Breather & Bilinear interpolation.read more
Citations
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Painlevé analysis, auto-Bäcklund transformation and analytic solutions of a (2$$+$$1)-dimensional generalized Burgers system with the variable coefficients in a fluid
Journal ArticleDOI
Studies on certain bilinear form, N-soliton, higher-order breather, periodic-wave and hybrid solutions to a (3+1)-dimensional shallow water wave equation with time-dependent coefficients
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Darboux transformation, localized waves and conservation laws for an M-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber
TL;DR: In this paper , the M-coupled variable-coefficient nonlinear Schrödinger system was investigated in an inhomogeneous optical fiber, where M is a positive integer.
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Lax pair, Darboux transformation, breathers and rogue waves of an $$\pmb {N}$$-coupled nonautonomous nonlinear Schrödinger system for an optical fiber or a plasma
References
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Book
The direct method in soliton theory
TL;DR: In this paper, Bilinearization of soliton equations is discussed and the Backlund transformation is used to transform the soliton equation into a linear combination of determinants and pfaffians.
Journal ArticleDOI
An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
TL;DR: In this paper, an extension of nonlinear evolution equations to higher orders is investigated, which cannot be derived from the functional derivative of higher order conserved quantities of the Sawada-Kotera equation.
Journal ArticleDOI
Temporal solitons in microresonators driven by optical pulses
TL;DR: In this article, a high-Q fiber-based Fabry-Perot micro-resonator with periodic, picosecond optical pulses was used to generate stable femtosecond dissipative cavity solitons.
Journal ArticleDOI
The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations
TL;DR: In this paper, the sn-and cn-function methods for finding nonsingular periodic-wave solutions to nonlinear evolution equations are described in a form suitable for automation, where sn and cn are the elliptic Jacobi snoidal andcnoidal functions, respectively.
Journal ArticleDOI
Integrated turnkey soliton microcombs
Boqiang Shen,Lin Chang,Junqiu Liu,Heming Wang,Qi-Fan Yang,Chao Xiang,Rui Ning Wang,Jijun He,Tianyi Liu,Weiqiang Xie,Joel Guo,David Kinghorn,Lue Wu,Qing-Xin Ji,Qing-Xin Ji,Tobias J. Kippenberg,Kerry J. Vahala,John E. Bowers +17 more
TL;DR: In this article, a turnkey regime for soliton microcombs is demonstrated, in which solitons are generated by switching on a co-integrated pump laser, eliminating the need for photonic and electronic control circuitry.
Related Papers (5)
Integrability, solitons, periodic and travelling waves of a generalized (3+1)-dimensional variable-coefficient nonlinear-wave equation in liquid with gas bubbles
Gao-Fu Deng,Yi-Tian Gao +1 more