Add to ORKGIn this paper, we propose a new completely integrable wave equation: mt+mx u2 −ux 2 +2m2ux=0, m=u−uxx. The equation is derived from the two dimensional Euler equation and is proven to have Lax pair and bi-Hamiltonian structures. This equation possesses new cusp solitons—cuspons, instead of regular peakons ce− −ct with speed c. Through investigating the equation, we develop a new kind of soliton solutions—“W/M”-shape-peaks solitons. There exist no smooth solitons for this integrable water wave equation
We present the fifth-order equation of the nonlinear Schrödinger hierarchy. This integrable partial ...
In recent years, integrable systems and soliton theory play an important role in the study of nonlin...
We study solitary wave solutions of the fifth-order Korteweg–de Vries equation which contains, besid...
In this paper, we propose a new completely integrable hierarchy. Particularly in the hierarchy we dr...
We consider a new partial differential equation recently obtained by Degasperis and Procesi using th...
In this paper, a new integrable two-component system, mt=[m(uxvx−uv+uvx−uxv)]x,nt=[n(uxvx−uv+uvx−uxv...
The Camassa-Holm (CH) equation is a well-known integrable equation describing the velocity dynamics ...
The Euler’s equations describe the motion of inviscid fluid. In the case of shallow water, when a pe...
This paper deals with the following equation mt= 1/2 1/mk xxx− 1/2 1/mk x, which is proposed by Z. ...
We present a new integrable partial differential equation found by Vladimir Novikov. Like the Camass...
Four extended shallow water wave equations are introduced and studied for complete integrability. We...
The so-called Whitham equation arises in the modeling of free surface water waves, and combines a ge...
Over the period 12-23 October 2009, the program "Recent advances in integrable systems of hydrodynam...
In this contribution, we describe the simplest, classical problem in water waves, and use this as a ...
The interest in the singular solutions (peakons) has been inspired by the Camassa-Holm (CH) equation...
We present the fifth-order equation of the nonlinear Schrödinger hierarchy. This integrable partial ...
In recent years, integrable systems and soliton theory play an important role in the study of nonlin...
We study solitary wave solutions of the fifth-order Korteweg–de Vries equation which contains, besid...
In this paper, we propose a new completely integrable hierarchy. Particularly in the hierarchy we dr...
We consider a new partial differential equation recently obtained by Degasperis and Procesi using th...
In this paper, a new integrable two-component system, mt=[m(uxvx−uv+uvx−uxv)]x,nt=[n(uxvx−uv+uvx−uxv...
The Camassa-Holm (CH) equation is a well-known integrable equation describing the velocity dynamics ...
The Euler’s equations describe the motion of inviscid fluid. In the case of shallow water, when a pe...
This paper deals with the following equation mt= 1/2 1/mk xxx− 1/2 1/mk x, which is proposed by Z. ...
We present a new integrable partial differential equation found by Vladimir Novikov. Like the Camass...
Four extended shallow water wave equations are introduced and studied for complete integrability. We...
The so-called Whitham equation arises in the modeling of free surface water waves, and combines a ge...
Over the period 12-23 October 2009, the program "Recent advances in integrable systems of hydrodynam...
In this contribution, we describe the simplest, classical problem in water waves, and use this as a ...
The interest in the singular solutions (peakons) has been inspired by the Camassa-Holm (CH) equation...
We present the fifth-order equation of the nonlinear Schrödinger hierarchy. This integrable partial ...
In recent years, integrable systems and soliton theory play an important role in the study of nonlin...
We study solitary wave solutions of the fifth-order Korteweg–de Vries equation which contains, besid...