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ABSTRACT In this work we use the repeated application of the recursion operator to establish a new hierarchy of negative-order integrable KdV equations of higher orders. The concept of the… Click to show full abstract
ABSTRACT In this work we use the repeated application of the recursion operator to establish a new hierarchy of negative-order integrable KdV equations of higher orders. The concept of the inverse recursion operator allows us to develop this new hierarchy. The complete integrability of each equation is guaranteed via the use of the recursion operator. We show that the dispersion relations of this hierarchy follow an infinite geometric series. Multiple soliton solutions for each equation of the hierarchy are obtained.
Keywords:
recursion operator;
new hierarchy;
repeated application;
recursion
Journal Title: Waves in Random and Complex Media
Year Published: 2020
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Journal Title: Waves in Random and Complex Media
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!