6533b7d8fe1ef96bd126a9b0

RESEARCH PRODUCT

Multi-parametric families solutions to the Burgers equation

Pierre Gaillard

subject

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

description

We construct 2N real parameter solutions to the Burgers' equation in terms of determinant of order N and we call these solutions, N order solutions. We deduce general expressions of these solutions in terms of exponentials and study the patterns of these solutions in functions of the parameters for N = 1 until N = 4.

https://hal.science/hal-03413181