Results 51 to 60 of about 1,885 (105)

Meromorphic exact solutions of the generalized Bretherton equation

, 2011
The generalized Bretherton equation is studied. The classification of the meromorphic traveling wave solutions for this equation is presented.
Abramowitz, Biswas, Demina, Demina, Dmitry I. Sinelshchikov, Eremenko, Hone, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Maria V. Demina, Nikolai A. Kudryashov, Parkes, Parkes, Vernov, Vitanov   +20 more
core   +1 more source

The Riccati System and a Diffusion-Type Equation [PDF]

, 2011
We discuss a method of constructing solution of the initial value problem for duffusion-type equations in terms of solutions of certain Riccati and Ermakov-type systems.
Suazo, Erwin, Suslov, Sergei K., Vega-Guzman, Jose M.   +2 more
core  

Equation for three-dimensional nonlinear waves in liquid with gas bubbles

, 2012
Nonlinear waves in a liquid containing gas bubbles are considered in the three-dimensional case. Nonlinear evolution equation is given for description of long nonlinear pressure waves.
Kudryashov, Nikolay A., Sinelshchikov, Dmitry I.   +1 more
core   +1 more source

Lax representation and quadratic first integrals for a family of non-autonomous second-order differential equations [PDF]

, 2019
We consider a family of non-autonomous second-order differential equations, which generalizes the Li\'enard equation. We explicitly find the necessary and sufficient conditions for members of this family of equations to admit quadratic, with the respect ...
Gaiur, Ilia Yu., Kudryashov, Nikolay A., Sinelshchikov, Dmitry I.   +2 more
core   +2 more sources

Conservation laws and exact solutions of Kudryashov-Sinelshchikov equation and Benney-Luke equation

, 2017
MSc (Applied Mathematics), North-West University, Mafikeng Campus, 2017 In this dissertation we study two nonlinear partial differential equations namely; the Kudryashov-Sinclshchikov equation and the Benney-Luke equation. We employ the multiplier method to find conservation laws and Kudryashov method to obtain exact solutions for the generalized ...
openaire   +2 more sources

A smoothed particle hydrodynamics study of the collapse for a cylindrical cavity. [PDF]

PLoS One, 2020
Albano A, Alexiadis A.
europepmc   +1 more source

Analytical technique and diverse chaos-identifying tools for the time fractional symmetric regularized long wave equation. [PDF]

Sci Rep
Ullah MS, Hasan MM, Mahbub MA.
europepmc   +1 more source

Optical soliton wave profiles for the (2 + 1)-dimensional complex modified Korteweg-de Vries system with the impact of fractional derivative via analytical approach. [PDF]

Sci Rep
Khan MI, Khan MA, Iqbal M, Alghabban WG, Aljohani A, Al-Dayel I, Ceesay B.   +6 more
europepmc   +1 more source

Dynamical solitonic wave formation to optical fiber communications with strong nonlinearity and inhomogeneity. [PDF]

Sci Rep
Faridi WA, Ciurdariu L, Ibrahim AA.
europepmc   +1 more source

Propagation of diverse structured periodic wave soliton solutions on the surface of an integrable space curve model via an extended analytic algorithm. [PDF]

Sci Rep
Iqbal M, Shakeel M, Murad MAS, Alrashdi HD, Alsubaie NE, Aljohani A, Nazar NM.   +6 more
europepmc   +1 more source