Add to ORKG[Valchev Tihomir; Вълчев Тихомир]In this survey report we shall briefly sketch certain problems from the classical differential geometry of curves and surfaces that lead to nonlinear partial differential equations known from soliton theory. Thus an alternative viewpoint on these completely integrable equations will be presented. 2010 Mathematics Subject Classification: 37K25, 53A04, 53A05
In this contribution, we describe the simplest, classical problem in water waves, and use this as a ...
Rigid body motion along helical space curves is shown to generate a class of nonlinear partial diffe...
In the first part of this thesis algebro-geometric solutions for the sine-Gordon and KdV equations i...
his paper describes the soliton surfaces approach to the Witten-Dijkgraaf-E.Verlinde-H. Verlinde (WD...
“Integrable Systems ” has become a field of mathematics in relatively recent times (triggering frequ...
Long before the theory of solitons, geometers used integrable equations to de-scribe various special...
Solitons are explicit solutions to nonlinear partial differential equations exhibiting particle-like...
Bäcklund transformations between all known completely integrable third-order differential equations ...
The intrinsic geometry of surfaces and Riemannian spaces will be investigated. It is shown that many...
The study of partial differential equations has been the object of much investigation and seen a gre...
In this article we present an introduction in the geometrical theory of motion of curves and surface...
In this article we present an introduction in the geometrical theory of motion of curves and surface...
The purpose of this Letter is to investigate the geometry of new classes of soliton-like solutions f...
"Partial Differential Equations and Solitary Waves Theory" is a self-contained book divided into two...
What distinguishes differential geometry in the last half of the twentieth century from its earlier ...
In this contribution, we describe the simplest, classical problem in water waves, and use this as a ...
Rigid body motion along helical space curves is shown to generate a class of nonlinear partial diffe...
In the first part of this thesis algebro-geometric solutions for the sine-Gordon and KdV equations i...
his paper describes the soliton surfaces approach to the Witten-Dijkgraaf-E.Verlinde-H. Verlinde (WD...
“Integrable Systems ” has become a field of mathematics in relatively recent times (triggering frequ...
Long before the theory of solitons, geometers used integrable equations to de-scribe various special...
Solitons are explicit solutions to nonlinear partial differential equations exhibiting particle-like...
Bäcklund transformations between all known completely integrable third-order differential equations ...
The intrinsic geometry of surfaces and Riemannian spaces will be investigated. It is shown that many...
The study of partial differential equations has been the object of much investigation and seen a gre...
In this article we present an introduction in the geometrical theory of motion of curves and surface...
In this article we present an introduction in the geometrical theory of motion of curves and surface...
The purpose of this Letter is to investigate the geometry of new classes of soliton-like solutions f...
"Partial Differential Equations and Solitary Waves Theory" is a self-contained book divided into two...
What distinguishes differential geometry in the last half of the twentieth century from its earlier ...
In this contribution, we describe the simplest, classical problem in water waves, and use this as a ...
Rigid body motion along helical space curves is shown to generate a class of nonlinear partial diffe...
In the first part of this thesis algebro-geometric solutions for the sine-Gordon and KdV equations i...