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Abstract N -order solutions to the modified Korteweg–de Vries (mKdV) equation are given in terms of a quotient of two wronskians of order N depending on 2 N real parameters.… Click to show full abstract
Abstract N -order solutions to the modified Korteweg–de Vries (mKdV) equation are given in terms of a quotient of two wronskians of order N depending on 2 N real parameters. When one of these parameters goes to 0, we succeed to get for each positive integer N , rational solutions as a quotient of polynomials in x and t depending on 2 N real parameters. We construct explicit expressions of these rational solutions for orders N = 1 until N = 6 .
Keywords:
multi parameters;
parameters rational;
rational solutions;
mkdv equation;
equation multi
Journal Title: Wave Motion
Year Published: 2021
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Journal Title: Wave Motion
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!