Khan, Kamruzzaman Akbar, M Ali Arnous, Ahmed H
Published in
SpringerPlus

In this work, recently deduced generalized Kudryashov method is applied to the variant Boussinesq equations, and the (2 + 1)-dimensional breaking soliton equations. As a result a range of qualitative explicit exact traveling wave solutions are deduced for these equations, which motivates us to develop, in the near future, a new approach to obtain u...

Alam, Md Nur Akbar, M Ali Roshid, Harun-Or-
Published in
SpringerPlus

05.45.Yv, 02.30.Jr, 02.30.Ik.

Zhang, Li Lin, Yezhi Liu, Yinping
Published in
Computers and Mathematics with Applications

In this paper, multiple exp-function method is employed to investigate exact multiple wave solutions for (2+1)-dimensional potential Kadomtsev–Petviashvili equation and (3+1)-dimensional Jimbo–Miwa equation. Not only already known multiple wave solutions are recovered, but also several new or more general multiple wave solutions are obtained.

Zhang, Li Lin, Yezhi Liu, Yinping
Published in
Computers and Mathematics with Applications

Jourdain, Benjamin Reygner, Julien

We study a quasilinear parabolic Cauchy problem with a cumulative distribution function on the real line as an initial condition. We call 'probabilistic solution' a weak solution which remains a cumulative distribution function at all times. We prove the uniqueness of such a solution and we deduce the existence from a propagation of chaos result on...

Jourdain, Benjamin Reygner, Julien

We study a quasilinear parabolic Cauchy problem with a cumulative distribution function on the real line as an initial condition. We call 'probabilistic solution' a weak solution which remains a cumulative distribution function at all times. We prove the uniqueness of such a solution and we deduce the existence from a propagation of chaos result on...

Jourdain, Benjamin Reygner, Julien

We study a quasilinear parabolic Cauchy problem with a cumulative distribution function on the real line as an initial condition. We call 'probabilistic solution' a weak solution which remains a cumulative distribution function at all times. We prove the uniqueness of such a solution and we deduce the existence from a propagation of chaos result on...

Jourdain, Benjamin Reygner, Julien

We study a quasilinear parabolic Cauchy problem with a cumulative distribution function on the real line as an initial condition. We call 'probabilistic solution' a weak solution which remains a cumulative distribution function at all times. We prove the uniqueness of such a solution and we deduce the existence from a propagation of chaos result on...

Jourdain, Benjamin Reygner, Julien

We study a quasilinear parabolic Cauchy problem with a cumulative distribution function on the real line as an initial condition. We call 'probabilistic solution' a weak solution which remains a cumulative distribution function at all times. We prove the uniqueness of such a solution and we deduce the existence from a propagation of chaos result on...

Jourdain, Benjamin Reygner, Julien

We study a quasilinear parabolic Cauchy problem with a cumulative distribution function on the real line as an initial condition. We call 'probabilistic solution' a weak solution which remains a cumulative distribution function at all times. We prove the uniqueness of such a solution and we deduce the existence from a propagation of chaos result on...