Results 91 to 100 of about 23,327 (208)
Bright and Dark Breathers on an Elliptic Wave in the Defocusing mKdV Equation
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodically in the space‐time. For the defocusing modified Korteweg–de Vries equation, the construction of general breathers has been an open problem since the elliptic wave ...
Dmitry E. Pelinovsky, Rudi Weikard
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PLoS ONE, 2022 Korteweg-de Vries Caudrey-Dodd-Gibbon (KdV-CDG) equation describes many physical phenomena in plasma physics, optical fibers, dynamics of the ocean, quantum mechanics, acoustic waves and laser optical applications.
Saima Arshed +3 more
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Insensitizing control of KDV–Burgers equations
Journal of Electrical Systems and Information Technology, 2018 This paper deals with the problem of insensitizing control of KDV–Burgers equation. This analysis produces a special type of null controllability, and shows that the nonlinear KDV–Burgers equation can be solved in terms of an insensitizing control.
Ravi Kumar Rajagounder, Chong Kil To
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$w$-function of the KdV hierarchy
, 2004 In this paper we construct a family of commuting multidimensional differential operators of order 3, which is closely related to the KdV hierarchy. We find a common eigenfunction of this family and an algebraic relation between these operators.
Buchstaber, V. M., Shorina, S. Yu.
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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 ...
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Complexity, 2018 The study of ion-acoustic solitary waves in a magnetized plasma has long been considered to be an important research subject and plays an increasingly important role in scientific research. Previous studies have focused on the integer-order models of ion-
Min Guo +4 more
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On the KdV Equation with Hysteresis
World Journal of Mechanics, 2011 This paper discusses the generalized play hysteresis operator in connection with the KdV equation. Results from the nonlinear semigroup theory are applied to assure the existence and uniqueness. The KdV equation with hysteresis is reduced to a system of differential inclusions and solved.
Marius-Florinel Ionescu +2 more
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Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation. [PDF]
Sci Rep, 2023 Hussain A +4 more
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A note on ill-posedness for the KdV equation [PDF]
, 2010 We prove that the solution-map $ u_0 \mapsto u $ associated with the KdV equation cannot be continuously extended in $ H^s(\R) $ for ...
Molinet, Luc
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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.
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