[PDF] Top 20 The Characteristic Function Method and Its Application to (1 + 1) Dimensional Dispersive Long Wave Equation

... w  wv  v xxx  (5) where w is as previously defined, v is now is the surface velocity of water along x-direction. The system (4) and (5) can be traced back to the works of Broer [15], Kaup [16], Martinez [17], ... See full document

... transformation method [11], the Hopf-Coletrans formation [12], the Miura transformation [13], the Jacobi elliptic function method [14], the A domian decomposition method [15] [16], the ... See full document

... (2+1) dimensional long dispersive wave equation which is solved already in terms of the arbitrary functions using the Painleve Truncation Approach (PTA) ...elliptic ... See full document

... direct method [22], improved tanh–coth method [23], and so ...traveling wave solutions to the nonlinear ...trial equation method and the complete discrimination system for polynomial ... See full document

... nonlinear dispersive long wave in ...(2+1)-dimensional dispersive long-wave equation by using the variable separation ...solutions dispersive ... See full document

... transform method (DTM), which was first applied in the engineering field by Zhou [8], has many advantages: it solves the problem directly without the need for linearization, perturbation, or any other ...series ... See full document

... nonlinear characteristic of the system abruptly changes due to some small changes of valid parameters including ...the wave phenomena observed in fluid dynamics [7,14], plasma and elastic media ... See full document

... finite dimensional manifolds. A passage from (1) into (2) (variant local scheme of Lyapunov -Schmidt) with the conditions that equation (2) has all the topological and analytical properties of ... See full document

... (mKawahara) equation is a cubic non-linear equation with a fifth-order derivative ...the equation is suggested by Kawahara [12] with its steady ...the dispersive term and these ... See full document

... the equation of ...regular dispersive long wave equations will be studied, while in the second section, the power law nonlinearity will be ...traveling wave hypothesis will be used to ... See full document

... Dromions which originate at the crosspoint of the intersection of two nonparallel ghost solitons decay exponentially in all directions and are driven by lower dimensional boundaries or velocity potentials ... See full document

... DOI: 10.4236/ojapps.2019.93011 122 Open Journal of Applied Sciences is called the vortex and anti-vortex solution for Ito-equation was firstly put for- ward by Zakharov [9] and later by Craik [10]. The aim of this ... See full document

... that its kernel computation still re- lies on the ray theory, although it was devised to account for non-geometrical finite-frequency ...seismic wave equations in realistic Earth mod- els by fully numerical ... See full document

... + 1)-dimensional analogue of the Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation ...CDGKS equation. Equation (1) was first pro- posed by Konopelchenko and Dubovsky [10] ...for ... See full document

... iteration method is given to handle the damped wave equation and dissipative wave equation in fractal ...iteration method is an efficient and simple tool for solving mathematical ... See full document

... scattering method [6], Hirota’s bilinear method [7], B¨acklund transformation [8], Painlev´e expansion [9], homogeneous balance method [10], function expansion methods [11], [12], [13], [14], ... See full document

... symmetry group. It is established that the symmetry generators form a closed Lie algebra. Classification of symmetry algebra of (6) into one- and two-dimensional subalgebras is car- ried out. Systematic reduction ... See full document

... longitudinal wave is the motion of the points of the medium (forming the wave) is in the same direction as the direction of propagation of the wave pattern as shown in Figure ...longitudinal ... See full document

... traveling wave solutions of some nonlinear PDEs in the mathe- matical physics via (1 + 1) dimensional Kaup Kupershmit equation, the (1 + 1) dimensional seventh ... See full document

... In the last two decades there has been a renewed interest in the interaction between biological tissues and electromagnetic field at microwave frequencies due to new promising applications of this technology in biomedical ... See full document