Lie symmetry analysis, nonlinear self-adjointness and conservation laws to an extended (2+1)-dimensional Zakharov–Kuznetsov–Burgers equation

Wang, Gangwei; Fakhar, Kamran

doi:10.1016/j.compfluid.2015.06.033

Cited by 35 publications

(8 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…) . (20) To get the value of the constant , we simply set = 0 in (20) and then find = 0. Therefore we have that…”

Section: Integrability and Bi-hamiltonian Structures Of A Lattice Hiementioning

confidence: 99%

“…It is well known that it is not easy to get solutions for integrable lattice systems. Currently, there are several useful approaches which can help us obtain explicit solutions, for instance, the binary nonlinearization [16][17][18], Lie symmetry analysis [19,20], and the Darboux transformation [21][22][23][24][25][26][27][28][29]. The Darboux matix method is one of important and effective techniques to obtain explicitly exact solutions of integrable lattice equations [30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Explicit Solutions and Conservation Laws for a New Integrable Lattice Hierarchy

Yang

Zhao

2019

Complexity

View full text Add to dashboard Cite

An integrable lattice hierarchy is derived on the basis of a new matrix spectral problem. Then, some properties of this hierarchy are shown, such as the Liouville integrability, the bi-Hamiltonian structure, and infinitely many conservation laws. After that, the Darboux transformation of the first integrable lattice equation in this hierarchy is constructed. Eventually, the explicitly exact solutions of the integrable lattice equation are investigated via graphs.

show abstract

“…) . (20) To get the value of the constant , we simply set = 0 in (20) and then find = 0. Therefore we have that…”

Section: Integrability and Bi-hamiltonian Structures Of A Lattice Hiementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Explicit Solutions and Conservation Laws for a New Integrable Lattice Hierarchy

Yang

Zhao

2019

Complexity

View full text Add to dashboard Cite

show abstract

“…where C 1 ,C 2 are arbitrary constants [23]. By balancing the highest derivative and nonlinear terms in (15), we assume the solution of (1) of the form…”

Section: Traveling Wave Solutions Of Eq(1) By Using Simplest Equatiomentioning

confidence: 99%

Lie group analysis, exact solutions and conservation laws of (3 1) dimensional a B-type KP equation

Yaşar¹

2016

ntmsci

View full text Add to dashboard Cite

show abstract

“…The author had proved the existence and uniqueness results for regular and weak solutions. In work [4] Lie symmetry analysis, nonlinear self-adjointness and conservation laws to the extended two-dimensional ZKB equation were studied. Application of the ZKB equation in dusty plasma was studied in [5].…”

Section: Introductionmentioning

confidence: 99%

Traveling wave solutions for the two-dimensional Zakharov-Kuznetsov-Burgers equation

Shaikhova¹

2018

Bul. Kar. Univ. - Math.

View full text Add to dashboard Cite

In this paper, the two-dimensional Zakharov-Kuznetsov-Burgers (ZKB) equation is investigated. The basic set of fluid equations is reduced to ZKB equation. This equation is a two-dimensional analog of the wellknown Korteweg-de Vries-Burgers equation, and also is typical example of so-called dispersive equations which attract the considerable attention of both pure and applied mathematicians in the past decades. We obtain traveling wave solutions for two-dimensional Zakharov-Kuznetsov-Burgers equation by modified Kudryashov method which is a powerful method for obtaining exact solutions of integrable and nonintegrable nonlinear evolution equations. Graphical representation of obtained solutions is demonstrated.

show abstract

Lie symmetry analysis, nonlinear self-adjointness and conservation laws to an extended (2+1)-dimensional Zakharov–Kuznetsov–Burgers equation

Cited by 35 publications

References 28 publications

Explicit Solutions and Conservation Laws for a New Integrable Lattice Hierarchy

Explicit Solutions and Conservation Laws for a New Integrable Lattice Hierarchy

Lie group analysis, exact solutions and conservation laws of (3 1) dimensional a B-type KP equation

Traveling wave solutions for the two-dimensional Zakharov-Kuznetsov-Burgers equation

Contact Info

Product

Resources

About