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
Bi-differential calculus and the KdV equation
, 1999 A gauged bi-differential calculus over an associative (and not necessarily commutative) algebra A is an N-graded left A-module with two covariant derivatives acting on it which, as a consequence of certain (e.g., nonlinear differential) equations, are ...
A Dimakis +9 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.
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Hamiltonian formulation for the description of interfacial solitary waves [PDF]
Nonlinear Processes in Geophysics, 1998 We consider solitary waves propagating on the interface between two fluids, each of constant density, for the case when the upper fluid is bounded above by a rigid horizontal plane, but the lower fluid has a variable depth.
R. Grimshaw, S. R. Pudjaprasetya
doaj
Conservative finite volume element schemes for the complex modified Korteweg–de Vries equation
International Journal of Applied Mathematics and Computer Science, 2017 The aim of this paper is to build and validate a class of energy-preserving schemes for simulating a complex modified Korteweg–de Vries equation. The method is based on a combination of a discrete variational derivative method in time and finite volume ...
Yan Jin-Liang, Zheng Liang-Hong
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Exact Travelling-Wave Solutions of the Extended Fifth-Order Korteweg-de Vries Equation via Simple Equations Method (SEsM): The Case of Two Simple Equations. [PDF]
Entropy (Basel), 2022 Nikolova EV.
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The Korteweg-de Vries Equation
, 2013 Two page encyclopedic article about the Korteweg-de Vries equation covering historical perspective, solitary wave and periodic solutions, modern developments, properties and applications, and further reading.
openaire +2 more sources
A Jacobi Dual-Petrov Galerkin-Jacobi Collocation Method for Solving Korteweg-de Vries Equations
Abstract and Applied Analysis, 2012 The present paper is devoted to the development of a new scheme to solve the initial-boundary value Korteweg-de Vries equation which models many physical phenomena such as surface water waves in a channel.
Ali H. Bhrawy, M. M. Al-Shomrani
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General rogue wave solutions and their dynamics in the complex modified Korteweg–de Vries equation
Results in PhysicsBy means of the Hirota bilinear method together with the Kadomtsev–Petviashvili hierarchy reduction technique, general higher-order rogue wave solutions of the complex modified Korteweg–de Vries equation are derived explicitly.
Yan Zhu +5 more
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Exact solutions of stochastic Burgers–Korteweg de Vries type equation with variable coefficients
Partial Differential Equations in Applied MathematicsWe will present exact solutions for three variations of the stochastic Korteweg de Vries–Burgers (KdV–Burgers) equation featuring variable coefficients.
Kolade Adjibi +6 more
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