Rational solutions to the mKdV equation associated to particular polynomials

6533b854fe1ef96bd12ae104

RESEARCH PRODUCT

Rational solutions to the mKdV equation associated to particular polynomials

Pierre Gaillard

subject

[PHYS]Physics [physics][SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph]Pure mathematics Applied Mathematics Rational solutions Mathematics::Analysis of PDEs General Physics and Astronomy [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]01 natural sciences 010305 fluids & plasmas Computational Mathematics Nonlinear Sciences::Exactly Solvable and Integrable Systems Modeling and Simulation 0103 physical sciences 010306 general physics Construct (philosophy)mKdV equation Nonlinear Sciences::Pattern Formation and Solitons Quotient Mathematics

description

International audience; Rational solutions to the modified Korteweg-de Vries (mKdV) equation are given in terms of a quotient of determinants involving certain particular polynomials. This gives a very efficient method to construct solutions. We construct very easily explicit expressions of these rational solutions for the first orders n = 1 until 10.

year	journal	country	edition	language
2021-12-01	Wave Motion

https://doi.org/10.1016/j.wavemoti.2021.102824

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