Results 91 to 100 of about 1,225,202 (162)

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

Analyticity Of Solutions Of The Generalized Korteweg-de Vries Equation With Respect To Their Initial Values

, 1995
It is shown that the initial value problem (IVP) of the generalized KdV equation @ t u + @ x (a(u)) + @ 3 x u = 0; u(x; 0) = OE(x) is well posed in the classical Sobolev space H s (R) with s ? 3=4, which thus establishes a nonlinear map K from H s
Bing-yu Zhang, Kdv Equation, C([\gammat T H   +2 more
core  

A Limit Symmetry of Modified KdV Equation and Its Applications A Limit Symmetry of Modified KdV Equation and Its Applications *

, 2020
In this letter we consider a limit symmetry of the modified KdV equation and its application. The similarity reduction leads to limit solutions of the modified KdV equation.
J I Jie, Zhang Da-Jun, Jian-Bing Zhang, Shen Qing   +3 more
core  

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  

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

The method of Mn-extension: the KdV equation

In this work we generalize $M_2$-extension that has been introduced recently. For illustration we use the KdV equation. We present five different M3-extensions of the KdV equation and their recursion operators.
Gürses, Metin, Pekcan, Aslı, PEKCAN YILDIZ, ASLI   +2 more
core   +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, Roshid MM, Uddin M, Ma WX, Harun-Or-Roshid, Munshi MJH.   +6 more
europepmc   +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

Soliton solutions of KdV equation

, 2010
1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern ...
Siti Aishah, Hashim Ali, Prof., Shazalina, Mat Zin   +1 more
core  

Nonlinear electronic streaming instability in lunar plasmas. [PDF]

Sci Rep
Deka PP, Karmakar PK, Atteya A.
europepmc   +1 more source