In this paper, the two-dimensional generalized nonlinear Schrödinger equations are
introduced with the Lax pair. The existence of the Lax pair defines integrability for the partial …

Exact solutions for the (3+1)-dimensional Kudryashov-Sinelshchikov equation Page 1
Journal of Physics: Conference Series PAPER • OPEN ACCESS Exact solutions for the (3+1)-dimensional …

In this talk, we investigate the two-dimensional Hirota system of equations. We apply the
extended tanh method for the two-dimensional Hirota system of equations in order to obtain …

In this work, the extended tanh method is used to construct wave solutions for the Davey–
Stewartson equations. The extended tanh method is a powerful solution method for …

The nonlinear Schrödinger equation is a well-known partial differential equation, which
provides a successful model in nonlinear optic theory, as well as other applications. The …

We study the Darboux transformation method for one-dimensional stationary Dirac equation
with linear potential. We obtain new exactly solvable potentials associated to new solutions …

In this work, an analytical study of the two-dimensional nonlinear Schrodinger equation is
presented, namely, the applicability of the sine-cosine method to search for the exact …

In mathematics and physics, one of the main tasks is to relate differential geometry and non-
linear differential equations, which means that the study of particular cases of subvarieties …

Dispersionless limit of the Heisenberg ferromagnet equation with self-consistent potential -
NASA/ADS Now on home page ads icon ads Enable full ADS view NASA/ADS Dispersionless …

In this paper, we study the application of the theory of solitons in differential geometry. The
recently proposed soliton equation, which is Fokas-Lenells equation, has been investigated …