Under the well-known bilinear method of Hirota, specific expression for N-soliton solutions (2+1)-dimensional generalized Caudrey–Dodd–Gibbon–Kotera–Sawada(gCDGKS) equation in fluid mechanics is given. By defining a novel restrictive condition on solutions, resonant Y-type and X-type soliton are generated. new proposed constraint, combined with velocity resonance module method, mixed solitons l...

The multiple exp-function method is a new approach to obtain multiple wave solutions of nonlinear partial differential equations (NLPDEs). By this method one can obtain multi-soliton solutions of NLPDEs. In this paper, using computer algebra systems, we apply the multiple exp-function method to construct the exact multiple wave solutions of a (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equati...

A direct rational exponential scheme is offered to construct exact multi-soliton solutions of nonlinear partial differential equation. We have considered the Calogero–Bogoyavlenskii–Schiff equation and KdV equation as two concrete examples to show efficiency of the method. As a result, one wave, two wave and three wave soliton solutions are obtained. Corresponding potential energy of the solito...

The acoustic field is obtained in terms of the wave number integration for a horizontally stratified ocean. The Inverse Hankel Transform is obtained for shallow water over a Layered inhomogeneous elastic bottom using “Direct global Matrix approach” with Fast Field Approximation Technique. This paper presents the determination of total solution for the depth dependence of the field: the depth de...

‎The water wave generation by wave paddle and a freely falling rigid body are examined by using an Incompressible Smoothed Particle Hydrodynamics (ISPH)‎. ‎In the current ISPH method‎, ‎the pressure was evaluated by solving pressure Poisson equation using a semi-implicit algorithm based on the projection scheme and the source term of pressure Poisson equation contains both of divergence free ve...

field experiments were conducted on an existing subsurface drainage system in roodasht region of esfahan, ian, to test the performance of drain spacing equations for transient flow. the water table profiles recorded from a series of observation wells indicated an essentially flat water surface. the effective hydraulic conductivity and the degree of anisotropy were calculated as 19.2 cm h-1 and ...

In the last two decades there has been considerable research on model water wave equations and the stability of their solitary waves. Among them, the Boussinesq type models such as [2], [3] and [4] describe small amplitude long waves in water of finite length. In this paper we will study the one-dimensional Benney-Luke equation. Our goal is twofold we aim to illustrate the usefulness of the abs...