Recently it has been shown that the superposition of solitons constitutes an exact periodic solution of many well known nonlinear evolution equations, including, for example, the Korteweg-de Vries (KdV) and the modified KdV equations. The same phenomenon is investigated for the second modified KdV equation.link_to_subscribed_fulltex
Abstract. A method of connecting the Korteweg–de Vries (KdV) equation, known from the theory of nonl...
Explicit multiple singular periodic solutions and singular soliton solutions to KdV equation Author(...
In this note we give an overview of results concerning the Korteweg-deVries equation ut = −uxxx + 6u...
Recently it has been shown that the superposition of solitons constitutes an exact periodic solution...
New exact solutions to the KdV2 equation (also known as the extended KdV equation) are constructed. ...
We present closed form periodic solutions of the integrable modified Korteweg-de Vries equation (mKd...
Solutions of differential-difference Korteweg-de Vries (KdV), modified KdV and generalized KdV equat...
We present closed form periodic solutions of the integrable modified Korteweg-de Vries equ...
Copyright c © 2014 Ying Huang. This is an open access article distributed under the Creative Commons...
In this paper, the tanh and sine–cosine methods are used to construct exact periodic and soliton sol...
Periodic waves for evolution equations of the modified Korteweg-de Vries (mKdV) family are expressed...
In this paper we construct a large family of special solutions of the KdV equation which are periodi...
Traveling wave solutions, including localized and periodic structures (e.g., solitary waves, cnoidal...
Abstract. We prove the existence of the periodic solutions of the KDV type of equation with respect ...
We obtain exact periodic solutions of the positive and negative modified Kortweg–de Vries (mKdV) equ...
Abstract. A method of connecting the Korteweg–de Vries (KdV) equation, known from the theory of nonl...
Explicit multiple singular periodic solutions and singular soliton solutions to KdV equation Author(...
In this note we give an overview of results concerning the Korteweg-deVries equation ut = −uxxx + 6u...
Recently it has been shown that the superposition of solitons constitutes an exact periodic solution...
New exact solutions to the KdV2 equation (also known as the extended KdV equation) are constructed. ...
We present closed form periodic solutions of the integrable modified Korteweg-de Vries equation (mKd...
Solutions of differential-difference Korteweg-de Vries (KdV), modified KdV and generalized KdV equat...
We present closed form periodic solutions of the integrable modified Korteweg-de Vries equ...
Copyright c © 2014 Ying Huang. This is an open access article distributed under the Creative Commons...
In this paper, the tanh and sine–cosine methods are used to construct exact periodic and soliton sol...
Periodic waves for evolution equations of the modified Korteweg-de Vries (mKdV) family are expressed...
In this paper we construct a large family of special solutions of the KdV equation which are periodi...
Traveling wave solutions, including localized and periodic structures (e.g., solitary waves, cnoidal...
Abstract. We prove the existence of the periodic solutions of the KDV type of equation with respect ...
We obtain exact periodic solutions of the positive and negative modified Kortweg–de Vries (mKdV) equ...
Abstract. A method of connecting the Korteweg–de Vries (KdV) equation, known from the theory of nonl...
Explicit multiple singular periodic solutions and singular soliton solutions to KdV equation Author(...
In this note we give an overview of results concerning the Korteweg-deVries equation ut = −uxxx + 6u...
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