Results 91 to 100 of about 5,295 (178)

General rogue wave solutions and their dynamics in the complex modified Korteweg–de Vries equation

Results in Physics
By means of the Hirota bilinear method together with the Kadomtsev–Petviashvili hierarchy reduction technique, general higher-order rogue wave solutions of the complex modified Korteweg–de Vries equation are derived explicitly.
Yan Zhu, Lijuan Qin, Zhiqiang Yang, Zhenting Chen, Zhenyun Qin, Gui Mu   +5 more
doaj   +1 more source

A Jacobi Dual-Petrov Galerkin-Jacobi Collocation Method for Solving Korteweg-de Vries Equations

Abstract and Applied Analysis, 2012
The present paper is devoted to the development of a new scheme to solve the initial-boundary value Korteweg-de Vries equation which models many physical phenomena such as surface water waves in a channel.
Ali H. Bhrawy, M. M. Al-Shomrani
doaj   +1 more source

PT-symmetric extensions of the supersymmetric Korteweg-de Vries equation

, 2008
We discuss several PT-symmetric deformations of superderivatives. Based on these various possibilities, we propose new families of complex PT-symmetric deformations of the supersymmetric Korteweg–de Vries equation.
Fring, A., Bagchi, B.
core   +1 more source

Whitham equations and phase shifts for the Korteweg-de Vries equation. [PDF]

Proc Math Phys Eng Sci, 2020
Ablowitz MJ, Cole JT, Rumanov I.
europepmc   +1 more source

Exact solutions of stochastic Burgers–Korteweg de Vries type equation with variable coefficients

Partial Differential Equations in Applied Mathematics
We will present exact solutions for three variations of the stochastic Korteweg de Vries–Burgers (KdV–Burgers) equation featuring variable coefficients.
Kolade Adjibi, Allan Martinez, Miguel Mascorro, Carlos Montes, Tamer Oraby, Rita Sandoval, Erwin Suazo   +6 more
doaj   +1 more source

Solitons from the Korteweg-de Vries Equation

, 2016
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   +1 more source

Solutions to the complex Korteweg-de Vries equation: Blow-up solutions and non-singular solutions

, 2013
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, Ying-ying Sun, Juan-ming Yuan   +2 more
core  

Solitons from the Korteweg-de Vries Equation

, 2011
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   +1 more source

Exploration traveling solitary solutions to the mKdV-Zakharov-Kuznetsov equation with advection noise

Boundary Value Problems
In this paper, we consider the stochastic modified Korteweg-de Vries-Zakharov-Kuznetsov (SmKdV-ZK) equation, which is driven in the Itô sense by advection noise. We show that by solving certain deterministic counterparts of the modified Korteweg-de Vries-
Sofian T. Obeidat, Doaa Rizk, Wael W. Mohammed   +2 more
doaj   +1 more source

Rough solutions for the periodic Korteweg-de Vries equation

, 2012
: We show how to apply ideas from the theory of rough paths to the analysis of low-regularity solutions to non-linear dispersive equations. Our basic example will be the one dimensional Korteweg--de Vries (KdV) equation on a periodic domain and with ...
Gubinelli, Massimiliano
core   +1 more source