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Self-adaptive moving mesh schemes for short pulse type equations and their Lax pairs

Self-adaptive moving mesh schemes for short pulse type equations and their Lax pairs

Abstract Integrable self-adaptive moving mesh schemes for short pulse type equations (the short pulse equation, the coupled short pulse equation, and the complex short pulse equation) are investigated. Two systematic methods, one is based on bilinear equations and another is based on Lax pairs, are shown. Self-adaptive moving mesh schemes …