Nonlocal symmetry and interaction solutions for the new (3+1)-dimensional integrable Boussinesq equation
نویسندگان
چکیده
The nonlocal symmetry of the new (3+1)-dimensional Boussinesq equation is obtained with truncated Painlevé method. can be localized to Lie point for prolonged system by introducing auxiliary dependent variables. finite transformation related integrable studied. Meanwhile, proved consistent tanh expansion method and many interaction solutions among solitons other types nonlinear excitations such as cnoidal periodic waves resonant soliton solution are given.
منابع مشابه
Nonlocal Symmetry and Integrable Classes of Abel Equation
We suggest an approach for description of integrable cases of the Abel equations using the procedure of increasing the order and equivalence transformations for the induced secondorder equations. A diversity of methods were developed to date for finding solutions of nonlinear ordinary differential equations (ODE). Everybody who encounters integration of a particular ODE uses, as a rule, the acc...
متن کاملNonlocal kinetic equation : integrable hydrodynamic reductions , symmetries and exact solutions
By Gennady A. El†, Anatoly M. Kamchatnov‡, Maxim V. Pavlov z and Sergey A. Zykov § † Department of Mathematical Sciences, Loughborough University, Loughborough, UK ‡Institute of Spectroscopy, Russian Academy of Sciences, Troitsk, Moscow Region, Russia z Lebedev Physical Institute, Russian Academy of Sciences, Moscow § SISSA, Trieste, Italy, and Institute of Metal Physics, Urals Division of Russ...
متن کاملNew explicit solitary wave solutions for (2+ 1)-dimensional Boussinesq equation and (3 + 1)-dimensional KP equation
In this Letter, we study (2 + 1)-dimensional Boussinesq equation and (3 + 1)-dimensional KP equation by using the new generalized transformation in Homogeneous Balance Method (HBM). As a result, many explicit exact solutions, which contain new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions and periodic wave solutions, are obtained. 2002 Elsevi...
متن کاملIntegrable nonlocal nonlinear Schrödinger equation.
A new integrable nonlocal nonlinear Schrödinger equation is introduced. It possesses a Lax pair and an infinite number of conservation laws and is PT symmetric. The inverse scattering transform and scattering data with suitable symmetries are discussed. A method to find pure soliton solutions is given. An explicit breathing one soliton solution is found. Key properties are discussed and contras...
متن کاملNew Analytic Solutions for the (N + 1)-Dimensional Generalized Boussinesq Equation
Abstract: In this paper, the generalized Jacobi elliptic functions expansion method with computerized symbolic computation are employed to investigate explicitly analytic solutions of the (N + 1)-dimensional generalized Boussinesq equation. The exact solutions to the equation are constructed analytically under certain circumstances, some of these solutions are degenerated to soliton-like soluti...
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: Mathematical Modelling of Natural Phenomena
سال: 2022
ISSN: ['1760-6101', '0973-5348']
DOI: https://doi.org/10.1051/mmnp/2022001