A horizontal layer containing a miscible mixture of two fluids can produce dissipative solitons when heated from below. The physics of the system is described, and dissipative solitons are computed using numerical continuation for three distinct sets of experimentally realizable parameter values. The stability of the solutions is investigated using direct numerical integration in time and related to the stability properties of the competing periodic state.
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Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R ChinaNingxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China
Zhou, Na
Zheng, Lai-Yun
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Ningxia Univ, Sch Mech Engn, Yinchuan 750021, Peoples R ChinaNingxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China
Zheng, Lai-Yun
Zhang, Chao-Nan
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Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R ChinaNingxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China
Zhang, Chao-Nan
Zhao, Bing-Xin
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Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China
Ningxia Key Lab Sci Engn Comp & Data Anal, Yinchuan 750021, Peoples R ChinaNingxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China
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Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R ChinaNingxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China
Li, Xu-Long
Zheng, Lai-Yun
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Ningxia Univ, Sch Mech Engn, Yinchuan 750021, Peoples R ChinaNingxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China
Zheng, Lai-Yun
Zhao, Bing-Xin
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Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China
Ningxia Basic Sci Res Ctr Math, Yinchuan 750021, Peoples R ChinaNingxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China
Zhao, Bing-Xin
Liu, Don
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Louisiana Tech Univ, Dept Math & Mech Engn, Ruston, LA 71270 USANingxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China