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Mathematische Zeitschrift, ISSN 0025-5874, 12/2011, Volume 269, Issue 3, pp. 1137 - 1153
Journal Article
Computer Physics Communications, ISSN 0010-4655, 2011, Volume 182, Issue 3, pp. 616 - 627
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 01/2017, Volume 262, Issue 1, pp. 506 - 558
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 10/2016, Volume 31, pp. 388 - 408
Under investigation in this paper is a generalized (2+1)-dimensional Boussinesq equation, which can be used to describe the water wave interaction. By using... 
The (2+1)-dimensional Boussinesq equation | Bell’s polynomials | Soliton solution | Periodic wave solution | Infinite conservation laws | Bäcklund transformation | Bell's polynomials | POLYNOMIALS | MATHEMATICS, APPLIED | CAMASSA-HOLM EQUATION | Backlund transformation | RATIONAL CHARACTERISTICS | Environmental law
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 09/2016, Volume 59, pp. 18 - 23
The bilinear equations, which directly derive the modified Camassa–Holm equation, are given from the reduction of the extended KP hierarchy with negative flow.... 
Soliton solution | Modified Camassa–Holm equation | Bilinear equation | Modified Camassa-Holm equation | MATHEMATICS, APPLIED | SOLITONS | BACKLUND-TRANSFORMATIONS | HEREDITARY SYMMETRIES | Functions (mathematics) | Reduction | Hierarchies | Fluid dynamics | Partial differential equations | Mathematical analysis | Byproducts | Determinants
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2017, Volume 451, Issue 2, pp. 990 - 1025
In this study, we consider the Cauchy problem for the second-order Camassa–Holm equation with periodic initial data . Using the vanishing viscosity method, the... 
Continuous semigroup | Camassa–Holm equation | Periodic second-order | Lipschitz metric | Local weak solution | Relabeling | MATHEMATICS | MATHEMATICS, APPLIED | WELL-POSEDNESS | Camassa-Holm equation | SHALLOW-WATER EQUATION | GLOBAL WEAK SOLUTIONS | CONSERVATIVE SOLUTIONS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2019, Volume 470, Issue 1, pp. 647 - 658
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 07/2018, Volume 336, pp. 317 - 337
In the present paper, a three-step iterative algorithm for solving a two-component Camassa–Holm (2CH) equation is presented. In the first step, the... 
Combined compact difference scheme | Inhomogeneous Helmholtz equation | Two-component Camassa–Holm equation | peakon–antipeakon | Hamiltonians | Casimir function | Two-component Camassa-Holm equation | SYSTEM | MATHEMATICS, APPLIED | FINITE-DIFFERENCE SCHEMES | SOLITONS | peakon-antipeakon | Algorithms
Journal Article
Physics Letters A, ISSN 0375-9601, 12/2017, Volume 381, Issue 48, pp. 3965 - 3971
We study a deformation of the defocusing nonlinear Schrödinger (NLS) equation, the defocusing Camassa–Holm NLS, hereafter referred to as CH–NLS equation. We... 
Camassa–Holm NLS | Multiscale expansion | Dark solitons | Antidark solitons | PHYSICS, MULTIDISCIPLINARY | INVERSE SCATTERING TRANSFORM | AMPLITUDE | INSTABILITIES | SOLITARY WAVES | SYSTEMS | MEDIA | DARK OPTICAL SOLITONS | KORTEWEG-DE-VRIES | Camassa Holm NLS | Mechanical engineering | Analysis | Numerical analysis
Journal Article
ANALYSIS AND APPLICATIONS, ISSN 0219-5305, 01/2007, Volume 5, Issue 1, pp. 1 - 27
This paper is devoted to the continuation of solutions to the Camassa-Holm equation after wave breaking. By introducing a new set of independent and dependent... 
MATHEMATICS | BREAKING | MATHEMATICS, APPLIED | conservation law | BANACH-SPACES | WAVE-EQUATION | dissipative solutions | non-local source | WEAK SOLUTIONS | Camassa-Holm equation | SHALLOW-WATER EQUATION | CONSERVATIVE SOLUTIONS
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 10/2017, Volume 263, Issue 7, pp. 4355 - 4381
In this paper, we prove well-posedness of the Fornberg–Whitham equation in Besov spaces in both the periodic and non-periodic cases. This will imply the... 
DEGASPERIS-PROCESI EQUATION | SOLUTION MAP | MATHEMATICS | NONUNIFORM DEPENDENCE | CAMASSA-HOLM EQUATION | CH EQUATION | STOKES WAVES | TRAJECTORIES | CAUCHY-PROBLEM | INITIAL DATA | SHALLOW-WATER EQUATION
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 04/2019, Volume 346, pp. 86 - 95
In this paper, we develop two linear conservative Fourier pseudo-spectral schemes for the Camassa–Holm equation. We first apply the Fourier pseudo-spectral... 
Camassa–Holm equation | Fourier pseudo-spectral method | Momentum-preserving | Linear conservative scheme | MATHEMATICS, APPLIED | PRESERVING ALGORITHMS | INTEGRATION | CONVERGENCE | Camassa-Holm equation | FINITE-DIFFERENCE SCHEME | SHALLOW-WATER EQUATION | MULTI-SYMPLECTIC FORMULATIONS
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 11/2018, Volume 51, Issue 49, p. 495202
In this work, we study solitary waves in a (2 + 1)-dimensional variant of the defocusing nonlinear Schrodinger (NLS) equation, the so-called Camassa-Holm-NLS... 
antidark solitons | dark solitons | Camassa-Holm-NLS | multiscale expansion | PHYSICS, MULTIDISCIPLINARY | RING DARK SOLITONS | MULTISCALE EXPANSIONS | SYSTEMS | MEDIA | AMPLITUDE | PHYSICS, MATHEMATICAL | Camassa-Hohn-NLS
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 10/2018, Volume 265, Issue 7, pp. 2886 - 2896
In this paper, the wave breaking of the Fornberg–Whitham equation is studied. We first investigate the local well-posedness and show a blow-up scenario by... 
Blow-up scenario | Fornberg–Whitham equation | Wave breaking | MATHEMATICS | CAMASSA-HOLM | Fornberg-Whitham equation | CAUCHY-PROBLEM | WELL-POSEDNESS | FAMILY
Journal Article
20.