Results 111 to 120 of about 23,327 (208)

Prohibitions caused by nonlocality for Alice-Bob Boussinesq-KdV type systems

, 2018
It is found that two different celebrate models, the Korteweg de-Vrise (KdV) equation and the Boussinesq equation, are linked to a same model equation but with different nonlocalities. The model equation is called the Alice-Bob KdV (ABKdV) equation which
Lou, S. Y.
core  

Darboux transformation and solution of the modified Korteweg–de Vries equation

Қарағанды университетінің хабаршысы. Математика сериясы, 2015
Darboux transformation and a comprehensive approach to construct exact solutions of the nonlinear differential equation are counted. It is applied to construct the explicit solutions of the (2+1)-dimensional modified Korteweg-de Vries (KdV) equation. In
G. Kemelbekova, K. Yesmakhanova, S. Tapeeva, D. Tungushbaeva   +3 more
doaj  

On quantization of the KdV equation

, 2001
Quantization procedure of the Gardner-Zakharov-Faddeev and Magri brackets by means of the fermionic representation for the KdV field is considered. It is shown that in both cases the corresponding Hamiltonians are given as sums of two well defined operators.
openaire   +2 more sources

Analytical solutions for the forced KdV equation with variable coefficients

Frontiers in Physics
This paper focuses on obtaining the exact solutions to the variable-coefficient forced Korteweg-de Vries (KdV) equation for modeling spatial inhomogeneity in fluids.
Ji Wang, Jia Fu, Jialin Dai
doaj   +1 more source

Exploring third-order KdV–SIdV families: Analytical solutions, conservation properties, and phase plane trajectories

Results in Physics
This study focuses on the Scale-Invariant (SIdV) families of third-order equations, which are among the few known equations sharing the same solitary wave solution of the KdV equation in the form of sech2.
Lewa’ Alzaleq, Valipuram Manoranjan
doaj   +1 more source

Soliton dynamics of the KdV–mKdV equation using three distinct exact methods in nonlinear phenomena

Nonlinear Engineering
The KdV–mKdV equation is investigated in this study. This equation is a useful tool to model many nonlinear phenomena in the fields of fluid dynamics, quantum mechanics, and soliton wave theory.
Ullah M. Atta, Rehan Kashif, Perveen Zahida, Sadaf Maasoomah, Akram Ghazala   +4 more
doaj   +1 more source

Fractional Consistent Riccati Expansion Method and Soliton-Cnoidal Solutions for the Time-Fractional Extended Shallow Water Wave Equation in (2 + 1)-Dimension

Fractal and Fractional
In this work, a fractional consistent Riccati expansion (FCRE) method is proposed to seek soliton and soliton-cnoidal solutions for fractional nonlinear evolutional equations.
Lihua Zhang, Bo Shen, Meizhi Jia, Zhenli Wang, Gangwei Wang   +4 more
doaj   +1 more source

Symbolic computation of solutions for three generalized nonlinear partial differential eQuations by using the tanh method

Revista Colombiana de Computación, 2009
Three nonlinear partial differential equations, namely, the standard KdV equation, the Boussinesq equation and the generalized fifthorder KdV equation are considered here from of point the view of construct exact solutions for them. The equations that we
Alvaro H. Salas, Cesar A. Gómez
doaj  

F-expansion method and new exact solutions of the Schrödinger-KdV equation. [PDF]

ScientificWorldJournal, 2014
Filiz A, Ekici M, Sonmezoglu A.
europepmc   +1 more source

Weak asymptotic method for the study of propagation and interaction of infinitely narrow delta-solitons

Electronic Journal of Differential Equations, 2003
We present a new method for studying the interaction of solitons for non-integrable Korteweg-de Vries (KdV) type equations with small dispersion and test this method for the KdV equation.
Vladimir G. Danilov, Georgii A. Omel'yanov   +1 more
doaj