Results 41 to 50 of about 3,516,005 (280)
Bifurcation and travelling wave solutions for a (2+1)-dimensional KdV equation
Journal of Taibah University for Science, 2020 This work aims to study a new $({2 + 1} )\ KdV $(2+1) KdV equation that is recently introduced in (Phys. Lett. A. 383: 728–731, 2019). By using the method of dynamical systems, we examine the bifurcation and construct exact travelling wave solutions for ...
A. A. Elmandouha, A. Ibrahim
semanticscholar +1 more source
KdV equation on riemann surfaces
Nuclear Physics B, 1989 Abstract We define a generalization of the KdV equation to Riemann surfaces, together with the corresponding hierarchy of equations and infinite set of charges in involution. We show that the second hamiltonian structure gives rise to a realization of the Krichever-Novikov algebra.
BONORA L., MATONE, MARCO
openaire +2 more sources
Results in Physics, 2018 In this work we study the Korteweg-de Vries-Benjamin-Bona-Mahony (KdV-BBM) equation, which describes the two-way propagation of waves. Using Lie symmetry method together with Jacobi elliptic function expansion and Kudryashov methods we construct its ...
Innocent Simbanefayi +1 more
doaj +1 more source
The Solutions of Initial (-Boundary) Value Problems for Sharma-Tasso-Olver Equation
Mathematics, 2022 A nonlinear transformation from the solution of linear KdV equation to the solution of Sharma-Tasso-Olver (STO) equation is derived out by using simplified homogeneous balance (SHB) method.
Lingxiao Li +2 more
doaj +1 more source
On classical solutions of the KdV equation [PDF]
Proceedings of the London Mathematical Society, 2019 We show that if the initial profile q(x) for the Korteweg‐de Vries (KdV) equation is essentially semibounded from below and ∫∞x5/2|q(x ...
S. Grudsky, A. Rybkin
semanticscholar +1 more source
Berry phases in the reconstructed KdV equation [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2020 We consider the KdV equation on a circle and its Lie–Poisson reconstruction, which is reminiscent of an equation of motion for fluid particles. For periodic waves, the stroboscopic reconstructed motion is governed by an iterated map whose Poincaré rotation number yields the drift velocity.
Blagoje Oblak, Gregory Kozyreff
openaire +6 more sources
A methodological approach to solving the Korteweg–de Vries equation in its various forms
Scientific AfricanThe Korteweg-de Vries (KdV) equation, an evolution-type nonlinear partial differential equation (PDE), describes the propagation of solitary water waves as observed in the literature.
Francis Tuffour +3 more
doaj +1 more source
Letters in Mathematical Physics, 1997 A quantum theory is developed for a difference-difference system which can serve as a toy-model of the quantum Korteveg-de-Vries equation.
openaire +3 more sources
AxiomsFrom the finite gap solutions of the KdV equation expressed in terms of abelian functions we construct solutions to the Schrödinger equation with a KdV potential in terms of fourfold Fredholm determinants.
Pierre Gaillard
doaj +1 more source
Rational approximate symmetries of KdV equation [PDF]
Journal of Physics A: Mathematical and General, 2003 We construct one-parameter deformation of the Dorfman Hamiltonian operator for the Riemann hierarchy using the quasi-Miura transformation from topological field theory. In this way, one can get the approximately rational symmetries of KdV equation and then investigate its bi-Hamiltonian structure.
openaire +3 more sources