[HTML][HTML] Stochastic soliton solutions of conformable nonlinear stochastic systems processed with multiplicative noise
Stochastic equations are powerful mathematical tools used to study systems having random
effects. The current manuscript studies the two distinct systems: the stochastic conformable …
effects. The current manuscript studies the two distinct systems: the stochastic conformable …
Practical analytical approaches for finding novel optical solitons in the single-mode fibers
In this work, under consideration is a (2+ 1)-dimensional generic model, known as the Hirota-
Maccari system, which was studied in plasma physics, fluid dynamics and fiber optics …
Maccari system, which was studied in plasma physics, fluid dynamics and fiber optics …
[HTML][HTML] Abundant closed form wave solutions to some nonlinear evolution equations in mathematical physics
The propagation of waves in dispersive media, liquid flow containing gas bubbles, fluid flow
in elastic tubes, oceans and gravity waves in a smaller domain, spatio-temporal rescaling of …
in elastic tubes, oceans and gravity waves in a smaller domain, spatio-temporal rescaling of …
Investigation of soliton structures for dispersion, dissipation, and reaction time-fractional KdV–Burgers–Fisher equation with the noise effect
In this manuscript, the soliton structures for the time-fractional KdV–Burgers–Fisher equation
with the effect of noise are investigated analytically. This is the dispersion–dissipation …
with the effect of noise are investigated analytically. This is the dispersion–dissipation …
[HTML][HTML] A comparison between the reduced differential transform method and the Adomian decomposition method for the Newell–Whitehead–Segel equation
A Saravanan, N Magesh - Journal of the Egyptian Mathematical Society, 2013 - Elsevier
In this paper, we will carry out a comparative study between the reduced differential
transform method and the Adomian decomposition method. This is been achieved by …
transform method and the Adomian decomposition method. This is been achieved by …
Explicit solutions of the ()-dimensional Hirota–Maccari system arising in nonlinear optics
In this paper, new exact traveling wave solutions of the (2+ 1)-dimensional Hirota–Maccari
system arising in nonlinear optics are successfully obtained by using two methods, namely …
system arising in nonlinear optics are successfully obtained by using two methods, namely …
New solitary wave solutions of Maccari system
In this paper, we consider exact solutions of Maccari system. We tackle extended trial
equation method and generalized Kudryashov method to find exact solutions of this system …
equation method and generalized Kudryashov method to find exact solutions of this system …
[HTML][HTML] Exact solutions of the Bogoyavlenskii equation using the multiple (G′ G)-expansion method
In this work, exact traveling wave solutions of the Bogoyavlenskii equation are studied by the
(G′ G)-expansion method and its variants. The solutions obtained are general solutions …
(G′ G)-expansion method and its variants. The solutions obtained are general solutions …
[PDF][PDF] First integral method and exact solutions to nonlinear partial differential equations arising in mathematical physics
ZY Zhang, J Zhong, SS Dou, J Liu, D Peng… - Rom. Rep. Phys, 2013 - researchgate.net
In this paper, the first integral method (FIM) is employed to solve the perturbed nonlinear
Schrödinger's equation (NLSE) with Kerr law nonlinearity, Klein-Gordon-Zakharov …
Schrödinger's equation (NLSE) with Kerr law nonlinearity, Klein-Gordon-Zakharov …
[PDF][PDF] Approximate analytical solutions of Newell-Whitehead-Segel equation using a new iterative method
The Newell-Whitehead-Segel equation is an important model arising in fluid mechanics.
Various researchers worked on approximate solution of this model by using different …
Various researchers worked on approximate solution of this model by using different …