Symmetry analysis and conservation laws of time fractional Airy type and other KdV type equations
, 2023 Miguel Vivas–Cortez +5 more
openalex +1 more source
A Refined Well-Posedness Result for the Modified KdV Equation in the Fourier-Lebesgue Spaces. [PDF]
J Dyn Differ Equ, 2023 Chapouto A.
europepmc +1 more source
Sharp ill-posedness and well-posedness results for dissipative KdV equations on the real line [PDF]
, 2019 Xavier Carvajal +2 more
openalex +1 more source
On the Existence and Uniqueness of Global Solutions for the KdV Equation\n with Quasi-Periodic Initial Data [PDF]
, 2012 David Damanik, Michael A. Goldstein
openalex +1 more source
On the lump interaction phenomena to the conformable fractional (2+1)-dimensional KdV equation
, 2023 Usman Younas +4 more
openalex +1 more source
Applied SciencesThe (2+1)-dimensional fifth-order KdV equation and (2+1)-dimensional Gardner equation obtained by us using Euler equations for an ideal fluid model in 2023 are revisited.
Anna Karczewska, Piotr Rozmej
doaj +1 more source
Solitary wave solutions of two KdV-type equations
Open Physics, 2018 The present paper investigates the solitary wave solutions of the nonlinear evolution equations with power nonlinearties. The study has been carried out for two examples of KdV-type equations, namely, the nonlinear dispersive equation and the generalised
Al-Ghafri Khalil Salim
doaj +1 more source
A continuum of invariant measures for the periodic KdV and mKdV equations [PDF]
, 2023 Andreia Chapouto, Justin Forlano
openalex +1 more source
Hamiltonian formulation of the KdV equation
Journal of Mathematical Physics, 1984 We consider the canonical formulation of Whitham’s variational principle for the KdV equation. This Lagrangian is degenerate and we have found it necessary to use Dirac’s theory of constrained systems in constructing the Hamiltonian. Earlier discussions of the Hamiltonian structure of the KdV equation were based on various different decompositions of ...
openaire +2 more sources
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 +3 more
doaj