Maqola

Integration of the generalized Camassa–Holm equation in the class of periodic functions

Bazar BabajanovUrgench State University, Urgench, UzbekistanDilshod Ozodovich AtajonovUrgench State University, Urgench, Uzbekistan

Theoretical and Mathematical Physicsjournal2025en

ABI

Annotatsiya

We study periodic solutions of the generalized Camassa–Holm equation (CH- $$\gamma$$ equation). We show that the generalized CH- $$\gamma$$ equation is also an important theoretical model because it is a completely integrable system. We obtain representation for periodic solutions of the generalized CH- $$\gamma$$ equation in the framework of the inverse spectral problem for a weighted Sturm–Liouville operator.

Mavzular

Nonlinear Waves and Solitons Nonlinear Photonic Systems Advanced Differential Equations and Dynamical Systems

Identifikatorlar

DOI: 10.1134/s0040577925040075

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