Solutions to the complex Korteweg-de Vries equation: Blow-up solutions and non-singular solutions
In the paper two kinds of solutions are derived for the complex Korteweg-de Vries equa-tion, including blow-up solutions and non-singular solutions. We derive blow-up solutions from known 1-soliton solution and a double-pole solution.
Da-jun Zhang +2 more
core
Accelerating solutions of the Korteweg-de Vries equation
The Korteweg-de Vries equation is a fundamental nonlinear equation that describes solitons with constant velocity. On the contrary, here we show that this equation also presents accelerated wavepacket solutions.
Asenjo, Felipe A. +1 more
core
Power series solution for the modified KdV equation
We use the method developed by Christ [3] to prove local well-posedness of a modified Korteweg de Vries equation in $mathcal{F}L^{s,p}$ spaces.
Tu Nguyen
doaj
Riccati-based analytical framework for solving the potential Korteweg-de Vries equation. [PDF]
Jawarneh Y +3 more
europepmc +1 more source
Stability of Stochastically Forced Solitons in the Korteweg-de Vries Equation. [PDF]
Westdorp RWS, Hupkes HJ.
europepmc +1 more source
Efficient simulation of Time-Fractional Korteweg-de Vries equation via conformable-Caputo non-Polynomial spline method. [PDF]
Yousif MA +3 more
europepmc +1 more source
Exact controllability and stabilizability of the Korteweg-de Vries equation
Russell, D.L.; Zhang, Bing-Yu. (1994). Exact controllability and stabilizability of the Korteweg-de Vries equation.
Russell, D.L., Zhang, Bing-Yu
core
Solitons from the Korteweg-de Vries Equation
this demonstration requires that the student knows the concepts of solitons and Korteweg-de Vries (KdV) equationsThis demonstration shows a simulation of a solitary wave (soliton)using Korteweg-de Vries (KdV) equationComponente Curricular::Educação ...
Zeleny, Enrique
core
Solitons from the Korteweg-de Vries Equation
this demonstration requires that the student knows the concepts of solitons and Korteweg-de Vries (KdV) equationsThis demonstration shows a simulation of a solitary wave (soliton)using Korteweg-de Vries (KdV) equationComponente Curricular::Educação ...
Zeleny, Enrique
core
Optical soliton wave profiles for the (2 + 1)-dimensional complex modified Korteweg-de Vries system with the impact of fractional derivative via analytical approach. [PDF]
Khan MI +6 more
europepmc +1 more source

