From particular polynomials to rational solutions to the mKdV equation

6533b870fe1ef96bd12d01b5

RESEARCH PRODUCT

From particular polynomials to rational solutions to the mKdV equation

subject

47.35.Fg 47.10A-rational solutions PACS numbers : 33Q55 47.54.Bd 37K10 [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]mKdV equation

description

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
2022-01-01

https://hal.science/hal-03649898

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