Results 11 to 20 of about 53,167 (307)

Fourth Order Nonlinear Evolution Equation For Interfacial Gravity Waves In The Presence Of Air Flowing Over Water And A Basic Current Shear

International Journal of Applied Mechanics and Engineering, 2015
A fourth order nonlinear evolution equation, which is a good starting point for the study of nonlinear water waves as first pointed out by Dysthe (1979) is derived for gravity waves propagating at the interface of two superposed fluids of infinite depth ...
D.P. Majumder, A.K. Dhar
doaj   +2 more sources

Controllability for a Nonlinear Abstract Evolution Equation

Mathematical Notes, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rozanova A.V.
core   +6 more sources

Some exact solutions to the generalized Korteweg–de Vries equation and the system of shallow water wave equations

Nonlinear Analysis, 2013
In this paper, we establish exact solutions for nonlinear evolution equations in mathematical physics. The exp-transform method is proposed to seek solitary solutions, periodic solutions and compaction-like solutions of nonlinear differential equations ...
Ihsan Timuçin Dolapci, Ahmet Yıldırım   +1 more
doaj   +3 more sources

Optimality conditions for systems driven by nonlinear evolution equations [PDF]

, 1995
Using the Dubovitskii-Milyutin theory we derive necessary and sufficient conditions for optimality for a class of Lagrange optimal control problems monitored by a nonlinear evolution equation and involving initial and/or terminal constraints.
Papageorgiou, N, Papageorgiou, Nikolaos S.   +1 more
core   +1 more source

Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC [PDF]

, 2011
Peer ...
Kaliyaperumal, Nakkeeran, Kraenkel, R. A., Chow, K. W.   +2 more
core   +1 more source

Finding exact solutions for selected nonlinear evolution differential equations [PDF]

, 2023
Burgers, Breaking Soliton and Boussinesq equations are applicable in different areas of physics. Searching their real solutions are particularly important.
Mohammed, Mayada G.., Strunin, Dmitry V., Bhanot, Rajeev P.   +2 more
core   +1 more source

The Improved exp⁡-Φξ-Expansion Method and New Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics

Advances in Mathematical Physics, 2019
The exp(-Φ(ξ))-expansion method is improved by presenting a new auxiliary ordinary differential equation for Φ(ξ). By using this method, new exact traveling wave solutions of two important nonlinear evolution equations, i.e., the ill-posed Boussinesq ...
Guiying Chen, Xiangpeng Xin, Hanze Liu
doaj   +1 more source

Numerical study on the generation and evolution of the super-rogue waves

Journal of Ocean Engineering and Science, 2016
The super-rogue wave solutions of the nonlinear Schrödinger equation (NLS) are numerically studied based on the weakly nonlinear hydrodynamic equation. The super-rogue wave solutions up to the 5th order, also known as the so-called super-rogue waves, are
Jianmin Yang, Wenyue Lu
doaj   +1 more source

Logarithmic Sobolev inequality for the invariant measure of the periodic Korteweg--de Vries equation. [PDF]

, 2011
The periodic KdV equation arises from a Hamiltonian system with infinite-dimensional phase space L^2(T). Bourgain has shown that there exists a Gibbs measure \nu on balls in the phase space such that the Cauchy problem for KdV is well posed on the ...
Gordon Blower, Blower, Gordon
core   +1 more source

The closed form solutions of simplified MCH equation and third extended fifth order nonlinear equation

Propulsion and Power Research, 2019
The investigation of closed form solutions for nonlinear evolution equations (NLEEs) is being an attractive subject in the different branches of mathematical and physical sciences. In this article, the enhanced (G′/G)-expansion method has been applied to
A.K.M. Kazi Sazzad Hossain, M. Ali Akbar, Md. Abul Kalam Azad   +2 more
doaj   +1 more source