Results 91 to 100 of about 18,045 (194)

Korteweg-de Vries Equation in Bounded Domains

Boletim da Sociedade Paranaense de Matemática, 2009
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openaire   +4 more sources

Reconfiguration of Independent Transversals

Random Structures &Algorithms, Volume 67, Issue 1, August 2025.
ABSTRACT Given integers Δ≥2$$ \Delta \ge 2 $$ and t≥2Δ$$ t\ge 2\Delta $$, consider a graph of maximum degree Δ$$ \Delta $$ and a partition of its vertices into blocks of size at least t$$ t $$. By a seminal result of Haxell, there is an independent set of the graph that is transversal to the blocks, a so‐called independent transversal. We show that, if
Pjotr Buys, Ross J. Kang, Kenta Ozeki
wiley   +1 more source

On the origin of the Korteweg-de Vries equation

, 2011
The Korteweg-de Vries equation has a central place in a model for waves on shallow water and it is an example of the propagation of weakly dispersive and weakly nonlinear waves.
de Jager, E. M.
core  

Reductions of lattice mKdV to $q$-$\mathrm{P}_{VI}$

, 2011
This Letter presents a reduction of the lattice modified Korteweg-de-Vries equation that gives rise to a $q$-analogue of the sixth Painlev\'e equation.
Adler, Christopher M. Ormerod, Grammaticos, Hay, Jimbo, Joshi, Joshi, Kakei, Ormerod, Papageorgiou, Papageorgiou, Quispel, Ramani, Tokihiro   +13 more
core   +1 more source

Dispersive Hydrodynamics of Soliton Condensates for the Korteweg-de Vries Equation. [PDF]

J Nonlinear Sci, 2023
Congy T, El GA, Roberti G, Tovbis A.
europepmc   +1 more source

Darboux transformations for supersymmetric korteweg-de vries equations [PDF]

Letters in Mathematical Physics, 1995
\hspace{.2in}We consider the Darboux type transformations for the spectral problems of supersymmetric KdV systems. The supersymmetric analogies of Darboux and Darboux-Levi transformations are established for the spectral problems of Manin-Radul-Mathieu sKdV and Manin-Radul sKdV. Several B cklund transformations are derived for the MRM sKdV and MR sKdV
openaire   +3 more sources

On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data I. Schwartz-Type Perturbations

, 2008
We solve the Cauchy problem for the Korteweg-de Vries equation with initial conditions which are steplike Schwartz-type perturbations of finite-gap potentials under the assumption that the respective spectral bands either coincide or are disjoint.Comment:
Baranetskii V B, Belokolos E D, Bikbaev R F, Bikbaev R F, Bondareva I, Bondareva I N, Boutet de Monvel A, Buslaev V S, Eckhaus W, Egorova I Teschl G, Ermakova V D, Ermakova V D, Faddeev L D, Firsova N E, Firsova N E, Gerald Teschl, Gesztesy F, Gesztesy F Ratnaseelan R Teschl G Gohberg I, Iryna Egorova, Its A R, Kamvissis S Teschl G, Kamvissis S Teschl G, Katrin Grunert, Khruslov E Ya, Khruslov E Ya, Khruslov E Ya, Khruslov E Ya, Khruslov E Ya, Krüger H Teschl G, Kuznetsov E A, Lax P D, Levitan B M, Marchenko V A, Novikov S P   +33 more
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Learning the Nonlinear Solitary Wave Solution of the Korteweg-De Vries Equation with Novel Neural Network Algorithm. [PDF]

Entropy (Basel), 2023
Wen Y, Chaolu T.
europepmc   +1 more source

Chiral Solitons in Generalized Korteweg-de Vries Equations

, 1998
Generalizations of the Korteweg-de Vries equation are considered, and some explicit solutions are presented. There are situations where solutions engender the interesting property of being chiral, that is, of having velocity determined in terms of the ...
Aglietti, Bazeia, Bazeia, Bazeia, Beneton Rabello, Beneton Rabello, Coffey, D. Bazeia, Das, Debnath, Dey, F. Moraes, Griguolo, Hereman, Iwao, Jackiw, Korteweg, Rajaraman, Rajaraman, Ruck, Whitham   +20 more
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Traveling wave solutions of a coupled Schrödinger-Korteweg-de Vries equation by the generalized coupled trial equation method. [PDF]

Heliyon, 2023
Shang J, Li W, Li D.
europepmc   +1 more source