The Korteweg-de Vries equation and a Diophantine problem related to Bernoulli polynomials
type: Item
instance of: scholarly article
title: The Korteweg-de Vries equation and a Diophantine problem related to Bernoulli polynomials
zbMATH Open document ID: 1375.11030
DOI: 10.1186/1687-1847-2013-245
author: Ákos Pintér
author: Szabolcs Tengely
published in: Advances in Difference Equations
publication date: 2017-11-28T00:00:00Z
Mathematics Subject Classification ID: 11D41
Mathematics Subject Classification ID: 14H45
Mathematics Subject Classification ID: 11Y50
zbMATH DE Number: 6813492
zbMATH Keywords: Diophantine equations
zbMATH Keywords: curves of genus 2
zbMATH Keywords: Korteweg-de Vries equation
Wikidata QID: Q59299314
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1847-2013-245
OpenAlex ID: W2137299411
cites work: Faulhaber and Bernoulli polynomials and solitons
cites work: Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
cites work: Numerical solution of complex modified Korteweg-de Vries equation by Petrov-Galerkin method
cites work: Painlevé property, auto-Bäcklund transformation and analytic solutions of a variable-coefficient modified Korteweg-de Vries model in a hot magnetized dusty plasma with charge fluctuations
cites work: New periodic wave and soliton solutions for system of coupled Korteweg-de Vries equations
cites work: Q3023603
cites work: On some generalizations of the diophantine equation s(1k+2k+⋅⋅⋅+xk)+r=dyn
cites work: Q5666618
cites work: Integral points on hyperelliptic curves
cites work: Q5562698
cites work: Effective analysis of integral points on algebraic curves
cites work: Q3840743
cites work: On \(S\)-integral solutions of the equation \(y^ m=f(x)\)
cites work: Q4345355
cites work: Solutions entières de l'équation $Y^m = f(X)$
cites work: Q3989561
cites work: An upper bound for the size of integral solutions to \(Y^ m= f(X)\)
cites work: Bounds for the solutions of unit equations
cites work: Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
cites work: An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers. II
cites work: Products of Prime Powers in Binary Recurrence Sequences Part I: The Hyperbolic Case, with an Application to the Generalized Ramanujan-Nagell Equation
cites work: An effective lower bound for the height of algebraic numbers
cites work: Deciding Existence of Rational Points on Curves: An Experiment
cites work: The Mordell–Weil sieve: proving non-existence of rational points on curves
cites work: The Hasse principle and the Brauer-Manin obstruction for curves
cites work: Two-cover descent on hyperelliptic curves
description: scientific article; zbMATH DE number 6813492