Results 51 to 60 of about 1,197 (185)
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
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Results in Physics, 2016 We consider the generalized fifth-order KdV type nonlinear evolution equation with variable coefficients. The system technique has been applied rigorously in order to find new exact solutions of the considered equations.
Hyunsoo Kim, Sunmi Lee
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Loop groups and equations of KdV type [PDF]
Publications Mathématiques de l'IHÉS, 1985 This paper deals with a construction of solutions of KdV-type equations through infinite dimensional Grassmannian constructions initiated by M. Sato. \textit{M. Sato} and \textit{Y. Sato} [Nonlinear partial differential equations in applied science, Proc. U.S.-Jap. Semin., Tokyo 1982, North-Holland Math. Stud.
Segal, G, Wilson, G
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Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu +2 more
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Justification of the NLS Approximation for the KdV Equation Using the Miura Transformation
Advances in Mathematical Physics, 2011 It is the purpose of this paper to give a simple proof of the fact that solutions of the KdV equation can be approximated via solutions of the NLS equation.
Guido Schneider
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The simplified Hirota’s method for studying three extended higher-order KdV-type equations
Journal of Ocean Engineering and Science, 2016 In this work we study three extended higher-order KdV-type equations. The Lax-type equation, the Sawada–Kotera-type equation and the CDG-type equation are derived from the extended KdV equation.
Abdul-Majid Wazwaz
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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
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A Hybrid ML‐PDE Framework for Predicting Breaking Ocean Waves
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 4, August 2026.Abstract Wave breaking plays a central role in ocean dynamics, dissipating wave energy and shaping the evolution of the sea surface. Yet, breaking remains difficult to model: envelope‐based models efficiently capture nonlinear wave evolution and are interpretable but exclude breaking, while high‐fidelity direct numerical simulations resolve breaking ...
Y. Liu +3 more
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Soliton solutions to the time-dependent coupled KdV–Burgers’ equation
Advances in Difference Equations, 2019 In this article, the authors apply the Lie symmetry approach and the modified (G′/G) $( G'/G )$-expansion method for seeking the solutions of time-dependent coupled KdV–Burgers equation.
Aisha Alqahtani, Vikas Kumar
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KdV limit for the Vlasov–Poisson–Landau system
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We are concerned with the fluid limit to KdV equations for the one‐dimensional Vlasov–Poisson–Landau system that describes the dynamics of ions in plasma with the electron density determined by the self‐consistent electric potential through the so‐called Boltzmann relation. Formally, it is well known that as the Knudsen number ε→0$\varepsilon \
Renjun Duan, Dongcheng Yang, Hongjun Yu
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