Abstract The (1+ 1)-dimensional bilinear Hietarinta equation was firstly proposed when
searching for integrable nonlinear evolution equations by the three-soliton method. In this …

In this paper, the exact soliton solutions and other exact solutions for nonlinear
Schrodinger's equation having Kudryashov's quintuple power law of refractive index …

In this article, we study the generalized (3+ 1)-dimensional nonlinear wave equation where
is investigated in soliton theory and by employing the Hirota's bilinear method the bilinear …

In this paper, the nonparaxial solitons in a dimensionless coupled nonlinear Schrödinger
system with cross-phase modulation, which enables the propagation of ultra-broad …

In this article, we discuss the wave behavior to the (3+ 1)-dimensional dynamical nonlinear
model which models the waves in the shallow water. Some natural issues, including tides …

In this article, we investigate the generalized (2+ 1)-dimensional shallow water wave
equation which enables an unidirectional propagation of shallow-water waves. By noticing …

In this paper, the Gilson–Pickering equation is studied which enables a wave propagation in
plasma physics and crystal lattice theory. Based on the auxiliary transformations, some sets …

In the current study, an analytical treatment is studied starting from the (2+ 1)‐dimensional
generalized Hirota‐Satsuma‐Ito (HSI) equation. Based on the equation, we first establish …

In the fields of oceanography, hydrodynamics, and marine engineering, many
mathematicians and physicists are interested in Burgers-type equations to show the different …

In this paper, we study the cubic–quintic nonlinear Helmholtz equation which enables a
pulse propagating with Kerr-like and quintic properties further spatial dispersion. By noticing …