Results 31 to 40 of about 1,098 (97)

Multipeakons and a theorem of Stieltjes

, 1999
A closed form of the multi-peakon solutions of the Camassa-Holm equation is found using a theorem of Stieltjes on continued fractions.
Beals R, Camassa R, D H Sattinger, J Szmigielski, Krein M G, R Beals, Stieltjes T J   +6 more
core   +2 more sources

Acoustic Scattering and the Extended Korteweg deVries hierarchy [PDF]

, 1998
The acoustic scattering operator on the real line is mapped to a Schr\"odinger operator under the Liouville transformation. The potentials in the image are characterized precisely in terms of their scattering data, and the inverse transformation is ...
Beals, R., Sattinger, D. H., Szmigielski, J.   +2 more
core   +3 more sources

The exact solutions of the stochastic Ginzburg–Landau equation

Results in Physics, 2021
The main goal of this paper is to obtain the exact solutions of the stochastic real-valued Ginzburg–Landau equation, which is forced by multiplicative noise in the Itô sense.
Wael W. Mohammed, Hijaz Ahmad, Amjad E. Hamza, E.S. ALy, M. El-Morshedy, E.M. Elabbasy   +5 more
doaj  

Self-adjointness of a generalized Camassa-Holm equation

, 2011
It is well known that the Camassa-Holm equation possesses numerous remarkable properties characteristic for KdV type equations. In this paper we show that it shares one more property with the KdV equation. Namely, Ibragimov has shown that the KdV and the
Ibragimov, N. H., Khamitova, R., Valenti, A.   +2 more
core   +1 more source

The investigation of local weak solutions for a generalized Novikov equation

Journal of Inequalities and Applications, 2014
The existence of local weak solutions for a generalized Novikov equation is established in the Sobolev space Hs(R) with 1≤s≤32. The pseudo-parabolic regularization technique and several estimates derived from the equation itself are used to prove the ...
S. Lai
semanticscholar   +2 more sources

The agreement between novel exact and numerical solutions of nonlinear models

Partial Differential Equations in Applied Mathematics, 2023
Nonlinear models (NLMs), being an important topic in mathematical physics, have attracted a lot of attention in the international research community because they have numerous uses in human life. These NLMs are typically implemented to illuminate various
Md. Nur Alam, S. M. Rayhanul Islam
doaj  

The application of trigonal curve theory to the second-order Benjamin-Ono hierarchy

Advances in Differential Equations, 2014
By introducing two sets of Lenard recursion equations, the second-order Benjamin-Ono hierarchy is proposed. In view of the characteristic polynomial of Lax matrix, a trigonal curve of arithmetic genus m−1 is deduced.
G. He, Lin He
semanticscholar   +2 more sources

New nonlinear periodic, solitonic, dissipative waveforms for modified-Kadomstev-Petviashvili-equation in nonthermal positron plasma

Results in Physics, 2020
The positron nonthermality contributions on nonlinear wave aspects of periodic solitary, shocklikes, rational, and explosive waves which exists for the critical features depicted by modified KP equation in earths space of regions D and F ionic plasma ...
H.G. Abdelwahed, Mahmoud A.E. Abdelrahman   +1 more
doaj  

Soliton solution of the osmosis K(2, 2) equation

, 2009
In this Letter, by using the bifurcation method of dynamical systems, we obtain the analytic expressions of soliton solution of the osmosis K(2, 2) equation.Comment: 8 ...
Biswas, Jiangbo Zhou, Lixin Tian, Luo, Rosenau, Wazwaz, Wazwaz, Wazwaz, Xu, Yan, Zhu   +10 more
core   +1 more source

Solitons on a finite-gap background in Bullough-Dodd-Jiber-Shabat model [PDF]

Int. Journ. of Modern Phys. 5A(1990) 3021-3027, 2001
The determinant formula for N-soliton solutions of the Bullough-Dodd-Jiber-Shabat equation on a finite-gap background is obtained. Nonsingularity conditions for them and their asymptotics are investigated.
arxiv   +1 more source