Results 111 to 120 of about 40,499 (216)

N-Soliton Solutions to a New (2 + 1) Dimensional Integrable Equation

, 1998
We give explicitly N-soliton solutions of a new (2 + 1) dimensional equation, $ _{xt} + _{xxxz}/4 + _x _{xz} + _{xx} _z/2 + \partial_x^{-1} _{zzz}/4 = 0$. This equation is obtained by unifying two directional generalization of the KdV equation, composing the closed ring with the KP equation and Bogoyavlenskii-Schiff equation.
Yu, S. J., Toda, K., Fukuyama, T.
openaire   +2 more sources

Two-dimensional stationary soliton gas

Physical Review Research
We study two-dimensional stationary soliton gas in the framework of the time-independent reduction of the Kadomtsev-Petviashvili (KPII) equation, which coincides with the integrable two-way “good” Boussinesq equation in the xy plane.
Thibault Bonnemain, Gino Biondini, Benjamin Doyon, Giacomo Roberti, Gennady A. El   +4 more
doaj   +1 more source

Exploring N-soliton solutions, multiple rogue wave and the linear superposition principle to the generalized hirota satsuma-ito equation. [PDF]

Sci Rep
Guo Y, Chen Y, Manafian J, Malmir S, Mahmoud KH, Alsubaie AS.   +5 more
europepmc   +1 more source

Dynamic soliton solutions and stability analysis of the (2+1)-dimensional Wazwaz Kaur Boussinesq equation using an efficient method. [PDF]

Sci Rep
Elsonbaty NM, Ahmed HM, Badra NM, Rabie WB.   +3 more
europepmc   +1 more source

Exploring the new classes of optical soliton solutions with diverse structure for the (2+1)-dimensional paraxial equation in fiber optics via two analytical methods. [PDF]

Sci Rep
Ibrahim IS, Sabi'u J, Iqbal M, Sulaiman S, Alghabban WG, Gouadria S, Nazar NM.   +6 more
europepmc   +1 more source

N-Soliton Solution for the Triple-Humped Soliton Equation [PDF]

Progress of Theoretical Physics, 1998
openaire   +2 more sources

Fractional dynamics and optical soliton propagation in mono-mode fibers via the Fokas system. [PDF]

Sci Rep
Iqbal N, Aldhabani MS, Alam N, Hamza AE, Mohammed WW, Hamoud AA.   +5 more
europepmc   +1 more source

Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]

Sci Rep
Almetwally EM, Zayed MA, Abo-Hashem SI, Sadat R, Mabrouk SM, Rashed AS.   +5 more
europepmc   +1 more source

Rigorous construction and classification of solitary-waves and exact soliton configurations in the nonlinear coupled Maccari system. [PDF]

Sci Rep
Hussain A, Khalel NJ, Oğul B, Al-Sinan BR, Thaqfan AA, Aly ES, Ibrahim TF.   +6 more
europepmc   +1 more source

Soliton structures and dynamical characteristics of fractional nonlinear waves in the classical Boussinesq framework. [PDF]

Sci Rep
Rimu NN, Islam MA, Dey P.
europepmc   +1 more source