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On the Korteweg-de Vries equation
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Noval soliton solution, sensitivity and stability analysis to the fractional gKdV-ZK equation. [PDF]
Shakeel M +7 more
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Learning quantum states of continuous-variable systems. [PDF]
Mele FA +7 more
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Advanced fractional soliton solutions of the Joseph-Egri equation via Tanh-Coth and Jacobi function methods. [PDF]
Shakeel K +6 more
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Analysis of solitary wave behavior under stochastic noise in the generalized schamel equation. [PDF]
Alsatami KA.
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Analytical solutions and chaotic dynamics of the extended KP-Boussinesq model via phase diagnostics. [PDF]
Şenol M +4 more
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On the Modified Korteweg–De Vries Equation
Mathematical Physics, Analysis and Geometry, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hayashi, Nakao, Naumkin, Pavel
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Boundary Stabilization of the Korteweg-de Vries Equation and the Korteweg-de Vries-Burgers Equation
Acta Applicandae Mathematicae, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jia, Chaohua, Zhang, Bing-Yu
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2009
In this chapter we study the local well-posedness (LWP) for the initial value problem (IVP) associated to the generalized KdV equation. We discuss the local theory for the KdV equation, the modified KdV equation, and the generalized KdV equations. We also show the sharpness of some of these results.
Felipe Linares, Gustavo Ponce
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In this chapter we study the local well-posedness (LWP) for the initial value problem (IVP) associated to the generalized KdV equation. We discuss the local theory for the KdV equation, the modified KdV equation, and the generalized KdV equations. We also show the sharpness of some of these results.
Felipe Linares, Gustavo Ponce
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Stochastic Korteweg-de Vries Equation
Journal of the Physical Society of Japan, 1983The Korteweg-de Vries equation with external noise is studied. It is shown that a soliton under Gaussian noise satisfies a diffusion equation in transformed coordinates. The deformation of the soliton during the propagation is explicitly obtained. The phenomenon is designated as the diffusion of soliton.
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