6533b7cffe1ef96bd1258b9c
RESEARCH PRODUCT
Rational solutions to the Johnson equation of order N depending on 2N − 2 parameters
Pierre Gaillardsubject
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph][MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]description
We construct rational solutions of order N depending on 2N − 2 parameters. They can be written as a quotient of 2 polynomials of degree 2N (N + 1) in x, t and 4N (N + 1) in y depending on 2N − 2 parameters. We explicitly construct the expressions of the rational solutions of order 4 depending on 6 real parameters and we study the patterns of their modulus in the plane (x, y) and their evolution according to time and parameters a1, a2, a3, b1, b2, b3.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-04-26 |