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Soliton-like solutions of the modified Camassa–Holm equation with variable coefficients

Author

Listed:
  • Samoilenko, Yuliia
  • Brandolese, Lorenzo
  • Samoilenko, Valerii

Abstract

We study soliton- and peakon-like solutions of the modified Camassa–Holm equation with variable coefficients and a singular perturbation. This equation is a direct generalization of the well-known modified Camassa–Holm equation, which is an integrable system having both smooth and peaked soliton solutions, named peakons.

Suggested Citation

  • Samoilenko, Yuliia & Brandolese, Lorenzo & Samoilenko, Valerii, 2025. "Soliton-like solutions of the modified Camassa–Holm equation with variable coefficients," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    • Handle: RePEc:eee:chsofr:v:192:y:2025:i:c:s0960077924014966
    DOI: 10.1016/j.chaos.2024.115944
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