[PDF][PDF] Cubic-quartic optical solitons for Lakshmanan-Porsezian-Daniel equation by the improved Adomian decomposition scheme
We study a class of Lakshmanan–Porsezian–Daniel equations endowed with a cubic–
quartic nonlinearity. A highly efficient improved Adomian decomposition approach is …
quartic nonlinearity. A highly efficient improved Adomian decomposition approach is …
Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg–de Vries equations
This paper aims to investigate the class of fifth-order Korteweg–de Vries equations by
devising suitable novel hyperbolic and exponential ansatze. The class under consideration …
devising suitable novel hyperbolic and exponential ansatze. The class under consideration …
[HTML][HTML] New soliton solutions for the space-time fractional modified third order Korteweg–de Vries equation
In present research work, the soliton solutions of the space-time fractional modified third
order Korteweg–de Vries (KdV) equation are explored by Sardar-subequation method …
order Korteweg–de Vries (KdV) equation are explored by Sardar-subequation method …
[HTML][HTML] Various exact wave solutions for KdV equation with time-variable coefficients
In this study, we investigate the (2+ 1)-dimensional Korteweg-De Vries (KdV) equation with
the extension of time-dependent coefficients. A symbolic computational method, the …
the extension of time-dependent coefficients. A symbolic computational method, the …
[HTML][HTML] A variety of soliton solutions for the fractional Wazwaz-Benjamin-Bona-Mahony equations
In the present paper, the new three-dimensional modified Benjamin-Bona-Mahony
equations recently introduced are analyzed with the introduction of the spatial and temporal …
equations recently introduced are analyzed with the introduction of the spatial and temporal …
[HTML][HTML] The phase shift analysis of the colliding dissipative KdV solitons
In this work, the head-on collisions of the non-stationary dissipative soliton in ultracold
neutral plasmas (UNPs) are investigated. The extended Poincare-Lighthill-Kuo (PLK) …
neutral plasmas (UNPs) are investigated. The extended Poincare-Lighthill-Kuo (PLK) …
An application of the rational sine–Gordon method to the Hirota equation
In this study, the analytical solution of the Hirota equation by using the rational sine–Gordon
expansion method (RSGEM) has been investigated. For this purpose, the mentioned model …
expansion method (RSGEM) has been investigated. For this purpose, the mentioned model …
[HTML][HTML] Lie symmetry analysis and invariant solutions for (2+ 1) dimensional Bogoyavlensky-Konopelchenko equation with variable-coefficient in wave propagation
This work aims to present nonlinear models that arise in ocean engineering. There are many
models of ocean waves that are present in nature. In shallow water, the linearization of the …
models of ocean waves that are present in nature. In shallow water, the linearization of the …
Solitary and periodic wave solutions of the space-time fractional Extended Kawahara equation
D Varol - Fractal and Fractional, 2023 - mdpi.com
The extended Kawahara (Gardner Kawahara) equation is the improved form of the
Korteweg–de Vries (KdV) equation, which is one of the most significant nonlinear evolution …
Korteweg–de Vries (KdV) equation, which is one of the most significant nonlinear evolution …
New hyperbolic structures for the conformable time-fractional variant bussinesq equations
In this work, exact analytical solutions for the time fractional variant bussinesq equations are
constructed in the sense of the newly devised fractional derivative called conformable …
constructed in the sense of the newly devised fractional derivative called conformable …