Results 111 to 120 of about 23,042 (190)

$w$-function of the KdV hierarchy

, 2004
In this paper we construct a family of commuting multidimensional differential operators of order 3, which is closely related to the KdV hierarchy. We find a common eigenfunction of this family and an algebraic relation between these operators.
Buchstaber, V. M., Shorina, S. Yu.
core   +1 more source

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

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

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  

Lie groups and KdV equations

Manuscripta Mathematica, 1979
Peng, Chia-Kuei, Chern, Shiing-Shen
openaire   +2 more sources

Abundant different types of soliton solutions for fractional modified KdV equation using auxiliary equation method. [PDF]

Sci Rep
Hussain A, Ibrahim TF, Birkea FMO, Yahya MS, Hassaballa AA, Mukalazi H.   +5 more
europepmc   +1 more source

Modulation instability, bifurcation analysis, and ion-acoustic wave solutions of generalized perturbed KdV equation with M-fractional derivative. [PDF]

Sci Rep
Alaoui MK, Roshid MM, Uddin M, Ma WX, Harun-Or-Roshid, Munshi MJH.   +5 more
europepmc   +1 more source

Energy Dynamics of Long-Wave Low-Amplitude Disturbances in an Anharmonic One-Dimensional Lattice. [PDF]

Materials (Basel)
Shcherbinin S, Baimova J, Krivtsov A.
europepmc   +1 more source