Results 181 to 190 of about 18,365 (215)
Some of the next articles are maybe not open access.
Bifurcations in the Generalized Korteweg–de Vries Equation
Russian Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kashchenko, S. A. +1 more
openaire +2 more sources
Hierarchies of Korteweg–de Vries type equations
Journal of Mathematical Physics, 1995An eigenvalue problem is considered. New hierarchies of bi-Hamiltonian systems are constructed. Some examples of these systems and their reductions are presented.
openaire +1 more source
Darboux transformations for the Korteweg-de-Vries equation
Journal of Physics A: Mathematical and General, 1992Summary: A Darboux transformation converting the Jost solution relating to the \((n-1)\)-soliton solution of the KdV equation to that to the \(n\)-soliton solution is shown to be written in the form of a pole expansion and is then found explicitly for arbitrary \(n\).
openaire +2 more sources
The conserved densities of the Korteweg–De Vries equation
Journal of Mathematical Physics, 1978The conserved densities of the Korteweg–de Vries equation are identified as energy densities associated with higher order equations generated from the KdV equation and governing its solutions.
openaire +2 more sources
2007
In this chapter we consider weakly nonlinear long waves. Here the basic paradigm is the well-known Korteweg-de Vries equation and its solitary wave solution. We present a brief historical discussion, followed by a typical derivation in the context of internal and surface water waves.
openaire +1 more source
In this chapter we consider weakly nonlinear long waves. Here the basic paradigm is the well-known Korteweg-de Vries equation and its solitary wave solution. We present a brief historical discussion, followed by a typical derivation in the context of internal and surface water waves.
openaire +1 more source
Unique Continuation for the Korteweg–de Vries Equation
SIAM Journal on Mathematical Analysis, 1992Summary: Unique continuation problems are considered for the Korteweg-de Vries (KdV) equation \[ u_ t+uu_ x+u_{xxx}=0, \qquad ...
openaire +2 more sources
Water waves and Korteweg–de Vries equations
Journal of Fluid Mechanics, 1980The classical problem of water waves on an incompressible irrotational flow is considered. By introducing an appropriate non-dimensionalization, we derive four Korteweg–de Vries equations: two expressed in Cartesian co-ordinates and two in plane polars.
openaire +2 more sources
Analyticity of Solutions of the Korteweg–De Vries Equation
SIAM Journal on Mathematical Analysis, 1991Summary: It is proven that if the initial function of the Korteweg-de Vries equation is analytic and has an analytic continuation to a strip containing the real axis, then the local in time solution has the same property, although the width of the strip might decrease with time. The result contains the case of the complex-valued initial function.
openaire +2 more sources
A nonstandard solution of the korteweg-de vries equation
Reports on Mathematical Physics, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
PSEUDOPOTENTIALS FOR THE KORTEWEG-DE VRIES EQUATION
Russian Mathematical Surveys, 1979openaire +2 more sources