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Integrable Peakon Systems / by Zhijun Qiao, Ruguang Zhou, Shihui Zhu.
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2026 English International Available online
View online- Format:
- Book
- Author/Creator:
- Qiao, Zhijun.
- Series:
- Applied Mathematical Sciences, 2196-968X ; 224
- Language:
- English
- Subjects (All):
- Dynamics.
- Mechanics.
- Mathematical analysis.
- Dynamical Systems.
- Classical Mechanics.
- Analysis.
- Local Subjects:
- Dynamical Systems.
- Classical Mechanics.
- Analysis.
- Physical Description:
- 1 online resource (1106 pages)
- Edition:
- 1st ed. 2026.
- Place of Publication:
- Cham : Springer Nature Switzerland : Imprint: Springer, 2026.
- Summary:
- This book introduces integrable peaked soliton (peakon) systems, which has been used by mathematical analysists and theoretical physicists to study the Camassa-Holm (CH) equation from various points and extended to create peakon models in nonlinear science. Recently integrable peakon models have been designed that are scalar and vector forms of the peakon systems. Quadratic and cubic peakon models as well as multi-component peakon dynamical systems, new multi-peakon/kink interactions, Hamiltonian systems, Lax pairs, and applications in nonlinear sciences are detailed and explained with examples to aid scientific scholars to conduct theoretical and applied research projects. Advanced undergraduate and graduate students in applied mathematics, physics and engineering can use this book for a course in integrable peakon systems. The technical aspect of peakon solution will be useful for graduate students and researchers in mathematics, theoretical physics, engineering, nonlinear science and other related fields. Researchers will find the techniques and complicated simulation procedure explored in this book vital for advancing their individual research. .
- Contents:
- Introduction
- Camassa-Holm (CH) peakon model
- Degasperis-Procesi (DP) peakon model
- Cubic Camassa-Holm (also called FORQ) peakon model
- Two component Camassa-Holm systems with cubic nonlinearity
- N-component Camassa-Holm systems with cubic nonlinearity
- Integrable peakon models and negative order hierarchies.
- Notes:
- Print version record.
- ISBN:
- 9783032177797
- OCLC:
- 1610751277
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