[图书][B] Handbook of nonlinear partial differential equations: exact solutions, methods, and problems
AD Polyanin, VF Zaitsev - 2003 - taylorfrancis.com
The Handbook of Nonlinear Partial Differential Equations is the latest in a series of
acclaimed handbooks by these authors and presents exact solutions of more than 1600 …
acclaimed handbooks by these authors and presents exact solutions of more than 1600 …
The hydrodynamical relevance of the Camassa–Holm and Degasperis–Procesi equations
A Constantin, D Lannes - Archive for Rational Mechanics and Analysis, 2009 - Springer
In recent years two nonlinear dispersive partial differential equations have attracted much
attention due to their integrable structure. We prove that both equations arise in the …
attention due to their integrable structure. We prove that both equations arise in the …
[图书][B] Nonlinear water waves with applications to wave-current interactions and tsunamis
A Constantin - 2011 - SIAM
This book is the written and somewhat expanded version of the author's lectures delivered at
the NSF-CBMS international research conference organized at the Mathematics Department …
the NSF-CBMS international research conference organized at the Mathematics Department …
[HTML][HTML] New perturbed conformable Boussinesq-like equation: Soliton and other solutions
In recent years, finding exact solutions to nonlinear differential equations has become a
fascinating study topic. In the present study, using the modified Kudryashov method and the …
fascinating study topic. In the present study, using the modified Kudryashov method and the …
On an integrable two-component Camassa–Holm shallow water system
A Constantin, RI Ivanov - Physics Letters A, 2008 - Elsevier
The interest in the Camassa–Holm equation inspired the search for various generalizations
of this equation with interesting properties and applications. In this Letter we deal with such …
of this equation with interesting properties and applications. In this Letter we deal with such …
Wave-breaking and peakons for a modified Camassa–Holm equation
G Gui, Y Liu, PJ Olver, C Qu - Communications in Mathematical Physics, 2013 - Springer
In this paper, we investigate the formation of singularities and the existence of peaked
traveling-wave solutions for a modified Camassa-Holm equation with cubic nonlinearity. The …
traveling-wave solutions for a modified Camassa-Holm equation with cubic nonlinearity. The …
Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions
G Zhang, Z Yan - Physica D: Nonlinear Phenomena, 2020 - Elsevier
In this paper, we present a systematical inverse scattering transform for both focusing and
defocusing nonlocal (reverse-space–time) modified Korteweg–de Vries (mKdV) equations …
defocusing nonlocal (reverse-space–time) modified Korteweg–de Vries (mKdV) equations …
Soliton solutions of generalized time-fractional Boussinesq-like equation via three techniques
Extraction of exact solutions for nonlinear PDEs has become very popular in recent years.
The presented work deals with the investigation of time fractional perturbed Boussinesq-like …
The presented work deals with the investigation of time fractional perturbed Boussinesq-like …
Long-time asymptotics for the Camassa–Holm equation
Long-time Asymptotics for the Camassa–Holm Equation Page 1 Copyright © by SIAM.
Unauthorized reproduction of this article is prohibited. SIAM J. MATH. ANAL. c 2009 Society for …
Unauthorized reproduction of this article is prohibited. SIAM J. MATH. ANAL. c 2009 Society for …
Direct and inverse scattering problems of the modified Sawada–Kotera equation: Riemann–Hilbert approach
DS Wang, X Zhu - Proceedings of the Royal Society A, 2022 - royalsocietypublishing.org
It is known that both the Sawada–Kotera equation and the Kaup–Kupershmidt equation are
related with the same modified equation by different Miura transformations. There is …
related with the same modified equation by different Miura transformations. There is …