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Title: Hirota direct method and \(N\)-soliton solutions Speaker: Wen-Xiu Ma Time: 9:00pm‐10:00pm Place: Zoom meeting 886 9208 9782
We will talk about \(N\)-soliton solutions and the corresponding Hirota conditions through the Hirota direct method. Applications to integrable equations in both \((1+1)\)-dimensions and \((2+1)\)-dimensions will be presented, together with open questions regarding generalized bilinear equations.
Title: Dark Solitons Speaker: Alle Adjiri Time: 9:00pm‐10:00pm Place: Zoom meeting 886 9208 9782
In this talk, I will first derive the Dark soliton solutions in nonlinear optical from Schrödinger equation, and then I will present their experimental results.
TBA
Title: Modulational Instability Speaker: Ahmed Ahmed Time: 9:00pm‐10:00pm Place: Zoom meeting 886 9208 9782
Title: Influence of Higher Order Terms Speaker: Ahmed Ahmed Time: 9:00pm‐10:00pm Place: Zoom meeting 886 9208 9782
Title: Other Applications of Optical Solitons Speaker: Yushan Bai, Inner Mongolia University of Technology China Time: 9:00pm‐10:00pm Place: Zoom meeting 886 9208 9782
Title: Amplification of a Soliton Speaker: Yong Zhang, Shandong University of Science and Technology China Time: 9:00pm‐10:00pm Place: Zoom meeting 886 9208 9782
Title: Solitons in Optical Fibers Speaker: Mohamed Reda Ali, Benha University Egypt Time: 9:00pm‐10:00pm Place: Zoom meeting 886 9208 9782
Title: The IST and Solitons of the NLS equation Speaker: Alle Adjiri Time: 9:00pm‐10:00pm Place: Zoom meeting 886 9208 9782
Title: Derivation of the NLS equation from Maxwell's Equations Speaker: Fudong Wang Time: 9:00pm‐10:00pm Place: Zoom meeting 886 9208 9782
In this talk, we simply discuss how to obtain the Nonlinear Schrödinger Equation from the approximation of Maxwell's equations. The technique is quite universal and can be extended to approximate other nonlinear PDEs with cubic nonlinearity such as modified KdV.
Title: Wave Motion Speaker: Wen-Xiu Ma Time: 9:00pm‐10:00pm Place: Zoom meeting 886 9208 9782
We will talk about wave motion in nonlinear media such as ocean waters and optical fibers. Nonlinear and dispersive effects will be discussed, together with rarefaction and compression waves, solitary waves and dispersion asymptotics. The Cauchy problem of the KdV equation and its solitons will be analyzed by the inverse scattering transform.