Wronskians, generalized Wronskians and solutions to the Korteweg–de Vries equation
2003; Elsevier BV; Volume: 19; Issue: 1 Linguagem: Inglês
10.1016/s0960-0779(03)00087-0
ISSN1873-2887
Autores Tópico(s)Advanced Mathematical Physics Problems
ResumoA bridge going from Wronskian solutions to generalized Wronskian solutions of the Korteweg–de Vries (KdV) equation is built. It is then shown that generalized Wronskian solutions can be viewed as Wronskian solutions. The idea is used to generate positons, negatons and their interaction solutions to the KdV equation. Moreover, general positons and negatons are constructed through the Wronskian formulation. A few new exact solutions to the KdV equation are explicitly presented as examples of Wronskian solutions.
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