Lump, multi-wave, kinky breathers, interactional solutions and stability analysis for general (2 + 1)-rth dispersionless Dym equation
نویسندگان
چکیده
منابع مشابه
Dynamics of Lump Solutions in a 2 + 1 NLS Equation
We derive a class of localized solutions of a 2+1 nonlinear Schrödinger (NLS) equation and study their dynamical properties. The ensuing dynamics of these configurations is a superposition of a uniform, “center of mass” motion and a slower, individual motion; as a result, nontrivial scattering between humps may occur. Spectrally, these solutions correspond to the discrete spectrum of a certain ...
متن کاملOn multi-lump solutions to the non-linear Schrödinger equation
We present a new approach to proving the existence of semi-classical bound states of the non-linear Schrödinger equation which are concentrated near a finite set of non-degenerate critical points of the potential function. The method is based on considering a system of non-linear elliptic equations. The positivity of the solutions is considered. It is shown how the same method yields “multi-bum...
متن کاملStability and the Equation of State for Kinky Vortons
Vortons are closed loops of superconducting strings carrying current and charge. A formalism has been developed to study vortons in terms of an elastic string approximation, but its implementation requires knowledge of the unknown equation of state, relating the string tension to the energy per unit length. Recently, a planar analogue of the vorton, known as a kinky vorton, has been introduced....
متن کاملLump solutions to the Kadomtsev–Petviashvili equation
Article history: Received 31 March 2015 Received in revised form 18 June 2015 Accepted 30 June 2015 Available online 2 July 2015 Communicated by R. Wu
متن کاملStability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation
In the present study, the nonlinear Boussinesq type equation describe the bi-directional propagation of small amplitude long capillary–gravity waves on the surface of shallow water. By using the extended auxiliary equation method, we obtained some new soliton like solutions for the two-dimensional fourth-order nonlinear Boussinesq equation with constant coefficient. These solutions include symm...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Results in Physics
سال: 2021
ISSN: 2211-3797
DOI: 10.1016/j.rinp.2021.104160