From the Boussinesq-type Equation to the Static Beam Equation
نویسندگان
چکیده
منابع مشابه
The Boussinesq equation and Miura type transformations
Several Miura type transformations for the Boussinesq equation are found and the corresponding integrable systems constructed.
متن کاملThe Boussinesq equation revisited
The continuous spectrum and soliton solutions for the Boussinesq equation are investigated using the ∂̄-dressing method. Solitons demonstrate quite extraordinary behavior; they may decay or form a singularity in a finite time. Formation of singularity (collapse of solitons) for the Boussinesq equation was discovered several years ago. Systematic study of the solitonic sector is presented. © 2002...
متن کاملMultisoliton solutions to the lattice Boussinesq equation
The lattice Boussinesq equation (BSQ) is a three-component difference-difference equation defined on an elementary square of the 2D lattice, having 3D consistency. We write the equations in the Hirota bilinear form and construct their multisoliton solutions in terms of Casoratians, following the methodology in our previous papers. In the construction it turns out that instead of the usual discr...
متن کاملA Geometric Study of the Dispersionless Boussinesq Type Equation
We discuss the dispersionless Boussinesq type equation, which is equivalent to the Benney–Lax equation, being a system of equations of hydrodynamical type. This equation was discussed in [4]. The results include: A description of local and nonlocal Hamiltonian and symplectic structures, hierarchies of symmetries, hierarchies of conservation laws, recursion operators for symmetries and generatin...
متن کاملTrial Equation Method for Solving the Improved Boussinesq Equation
Trial equation method is a powerful tool for obtaining exact solutions of nonlinear differential equations. In this paper, the improved Boussinesq is reduced to an ordinary differential equation under the travelling wave transformation. Trial equation method and the theory of complete discrimination system for polynomial are used to establish exact solutions of the improved Boussinesq equation.
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: Journal of Applied Computer Science & Mathematics
سال: 2019
ISSN: 2066-4273,2066-3129
DOI: 10.4316/jacsm.201902008