https://orcid.org/0000-0002-7582-8414
Figures & data
Figure 1. Variations of: (a) PDF of the rational solution along the spatial dimension,
at wave speed,
and
(b) PDF of the rational solution
with wave speed,
at
and
(c) Mean rational solution,
with wave speed,
at
and
(Exponential distributions).
![Figure 1. Variations of: (a) PDF of the rational solution ϕ1(x,t) along the spatial dimension, x, at wave speed, λ=1.4 and t=3.0; (b) PDF of the rational solution ϕ1(x,t) with wave speed, λ, at x=10 and t=3; (c) Mean rational solution, E[ϕ1], with wave speed, λ, at x=10 and t=3.0, (Exponential distributions).](/cms/asset/06f76e0a-a437-4e4e-a1e8-538449418ca4/oaen_a_2345516_f0001_c.jpg)
Figure 2. Variations of: (a) PDF of the solitary solution along the spatial dimension,
at wave speed,
and
(b) PDF of the solitary solution
with wave speed, λ, at
and
(c) Mean solitary solution,
with wave speed,
at
and
(Exponential distributions).
![Figure 2. Variations of: (a) PDF of the solitary solution ϕ3(x,t) along the spatial dimension, x, at wave speed, λ=1.5 and t=3.0; (b) PDF of the solitary solution ϕ3(x,t) with wave speed, λ, at x=10 and t=3.0; (c) Mean solitary solution, E[ϕ3], with wave speed, λ, at x=10 and t=3.0, (Exponential distributions).](/cms/asset/c5fba566-69a0-4b74-86d7-0002f0da3e64/oaen_a_2345516_f0002_c.jpg)
Figure 3. Variations of: (a) PDF of the periodic solution along the spatial dimension,
at wave speed,
and
taking
(b) PDF of the periodic solution,
with wave speed, λ, at
and
(c) Mean periodic solution,
with wave speed,
at
and
(Exponential distributions).
![Figure 3. Variations of: (a) PDF of the periodic solution ϕ4(x,t) along the spatial dimension, x, at wave speed, λ=0.4 and t=3.0, taking n=0,1,2; (b) PDF of the periodic solution, ϕ4(x,t) with wave speed, λ, at x=0.8 and t=3.0; (c) Mean periodic solution, E[ϕ4], with wave speed, λ, at x=0.8, t=3.0 and n=0, (Exponential distributions).](/cms/asset/dea17be3-260b-4851-b446-bd77943ce9e8/oaen_a_2345516_f0003_c.jpg)
Figure 4. Variations of: (a) PDF of the rational solution, along the spatial dimension,
at wave speed,
and
(b) PDF of the rational solution
with wave speed,
at
and
(c) Mean rational solution,
with wave speed,
at
and
(Uniform distributions).
![Figure 4. Variations of: (a) PDF of the rational solution, ϕ1(x,t) along the spatial dimension, x, at wave speed, λ=1.4 and t=3.0; (b) PDF of the rational solution ϕ1(x,t) with wave speed, λ, at x=10 and t=3; (c) Mean rational solution, E[ϕ1], with wave speed, λ, at x=10 and t=3.0, (Uniform distributions).](/cms/asset/492e608a-0d70-417b-ad26-4425818f17c3/oaen_a_2345516_f0004_c.jpg)
Figure 5. Variations of: (a) PDF of the solitary solution, along the spatial dimension,
at wave speed,
and
(b) PDF of the solitary solution
with wave speed, λ, at
and
(c) Mean solitary solution,
with wave speed,
at
and
(Uniform distributions).
![Figure 5. Variations of: (a) PDF of the solitary solution, ϕ3(x,t) along the spatial dimension, x, at wave speed, λ=1.5 and t=3.0; (b) PDF of the solitary solution ϕ3(x,t) with wave speed, λ, at x=10 and t=3.0; (c) Mean solitary solution, E[ϕ3], with wave speed, λ, at x=10 and t=3.0, (Uniform distributions).](/cms/asset/2794b2f2-2eb3-4b23-a750-8d36c536e53e/oaen_a_2345516_f0005_c.jpg)
Figure 6. Variations of: (a) PDF of the periodic solution, along the spatial dimension,
at wave speed,
and
taking
(b) PDF of the periodic solution
with wave speed, λ, at
and
(c) Mean periodic solution,
with wave speed,
at
and
(Uniform distributions).
![Figure 6. Variations of: (a) PDF of the periodic solution, ϕ4(x,t) along the spatial dimension, x, at wave speed, λ=0.4 and t=3.0, taking n=0,1,2; (b) PDF of the periodic solution ϕ4(x,t) with wave speed, λ, at x=0.8 and t=3.0; (c) Mean periodic solution, E[ϕ4], with wave speed, λ, at x=0.8, t=3.0 and n=0, (Uniform distributions).](/cms/asset/55259d5a-e8ed-41da-9ca2-063b439d89a5/oaen_a_2345516_f0006_c.jpg)
Data availability statement
Data sharing is not applicable to this article since no data sets were taken from outside sources.