Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method

Ebaid, Abdelhalim

doi:10.1016/j.physleta.2007.01.009

Cited by 151 publications

(62 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Consequently, this may have provided optimum SMC and SBD that improved sesame efficiency in extracting and using soil water and nutrients resulting in increased high WUE. This consistent with Mohandoss (2001) and Ebaid et al (2007) similarly obtained increased sesame yields and WUE due to application of 3 t/ha and 9 t/ha of rice husks respectively. Both cases were attributed to high amounts of organic matter and major plant nutrients in rice husks that could have improved soil physical conditions and nutrient supply.…”

Section: Soil Water Content (Smc) Soil Bulk Density (Sbd) and Crop Wsupporting

confidence: 90%

“…High SMC coupled with low SBD could have enabled the sesame crop to access adequate moisture and nutrients resulting in increased WUE. (Ebaid et al, 2007;Sarwar et al, 2008;Yinguang et al, 2015) similarly found that incorporation of organic residues on soil, increased SMC and but reduced SBD. This was attributed to increased pore space formed due to increased organic matter content.…”

Section: Soil Water Content (Smc) Soil Bulk Density (Sbd) and Crop Wmentioning

confidence: 98%

“…Decrease in water content decreases soil water potential (Zou, 2001). Availability and the ease with which plants can access soil moisture at the root zone determine their efficiency in its use (Ebaid, 2007). The amount of organic matter in soil affects its ability to retain moisture and allow for infiltration (Sarwar et al, 2008;Yongxia et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effects of Organic Residues on Soil Properties and Sesame Water Use Efficiency

Anguria¹,

Chemining’wa²,

Onwonga³

et al. 2017

JAS

View full text Add to dashboard Cite

A study was conducted at the National Semi-Arid Resources Research Institute-Serere, Uganda for three seasons (2013 short rains, 2014 long rains and 2014 short rains) to investigate the effect of crop residues and animal manure on soil bulk density (SBD), soil moisture content (SMC) and water use efficiency (WUE) of sesame. The experiment was laid out in a randomized complete block design with three replications. The treatments comprised: control, 4 crop residues, 2 animal manures and combinations of 2 animal manures and 4 crop residues all applied at two rates of 3 and 6 t/ha. Plots treated with 6 t/ha of millet husks produced the highest SMC (37.46%) and lowest SBD (1.1717 g/cm 3 ) across seasons; while plots treated with 3 t/ha of millet husks produced the highest WUE of sesame (9.92 kg ha -1 mm -1 ) across seasons compared with other crop residue and animal manure treatments applied singly. Soil moisture content was highest (38.09%) and SBD lowest (1.0520 g/cm 3 ) across seasons in plots treated with 6 t/ha of poultry manure plus millet husks; while plots amended with 3 t/ha of poultry manure plus millet husks produced the highest WUE of sesame (9.40 g/cm 3 ) across seasons compared with other treatments. Crop residues influenced SMC and SBD in the order; millet husks > cowpea husks > sorghum husks > groundnut shells. Crop residues affected WUE of sesame in the order; millet husks > sorghum husks > groundnut shells > cowpea husks. This study has demonstrated that poultry manure plus millet husks have a potential to enhance WUE of sesame.

show abstract

Section: Soil Water Content (Smc) Soil Bulk Density (Sbd) and Crop Wsupporting

confidence: 90%

Section: Soil Water Content (Smc) Soil Bulk Density (Sbd) and Crop Wmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Effects of Organic Residues on Soil Properties and Sesame Water Use Efficiency

Anguria¹,

Chemining’wa²,

Onwonga³

et al. 2017

JAS

View full text Add to dashboard Cite

show abstract

“…This observation is also true for tanh-coth function method [3] and F-expansion method [6]. However, in [41], it is shown that the Burgers' equation in which the odd and even-order derivative terms coexist can be solved by the Exp-function method. (iii) Being less restrictive, the Exp-function method can be extended to a wide class of equations such as NLEEs with variable coefficients [42,43], a KdV equation with forcing term [44], and nonlinear differentialdifference equations [45][46][47][48].…”

Section: Analytic Solutions To the (2 + 1)d-zk Equationmentioning

confidence: 86%

Generalized solitary and periodic wave solutions to a (2+1)-dimensional Zakharov–Kuznetsov equation

Aslan

2010

Applied Mathematics and Computation

View full text Add to dashboard Cite

a b s t r a c tIn this paper, the Exp-function method is employed to the Zakharov-Kuznetsov equation as a (2 + 1)-dimensional model for nonlinear Rossby waves. The observation of solitary wave solutions and periodic wave solutions constructed from the exponential function solutions reveal that our approach is very effective and convenient. The obtained results may be useful for better understanding the properties of two-dimensional coherent structures such as atmospheric blocking events.

show abstract

“…In recent years, many effective methods have been proposed for solving the nonlinear differential equations, such that tanh-sech method [1], extended tanh method [2], sine-cosine method [3], homogenous balance method [4], Jacobi elliptic function method [5], F-expansion method [6], homotopy perturbation method [7], variational iteration method [8], Hirotas bilinear methods [9], bifurcation method [10] and so on. In 2006, a new method, called Exp-function method, was first introduced by He and Wu [11], and was successfully studied in a lot of problems [12][13][14][15][16][17][18][19][20] and so on.…”

mentioning

confidence: 99%