In this work, recently developed modified simple equation (MSE) method is applied to find exact traveling wave solutions of nonlinear evolution equations (NLEEs). To do so, we consider the (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony (DMBBM) equation and coupled Klein-Gordon (cKG) equations. Two classes of explicit exact solutions–hyperbolic and trigonometric solutions of the associated equations are characterized with some free parameters. Then these exact solutions correspond to solitary waves for particular values of the parameters.PACS numbers02.30.Jr; 02.70.Wz; 05.45.Yv; 94.05.Fg

For a long prior time, planning is being deprived of resulting unplanned urban growth that happen consequences the urban problems. A GIS-based site suitability analysis using the AHP model is performed with criterion: land use, population distribution, water network, drainage network and road network. The suitable growth sites are determined through expert opinion, pair-wise comparison matrix and finally determining the weighted value. This paper found out the potential urban growth mainly in ward no. 2, 7, and 6. Optimally suitable places are those sites where future urban development can easily occur and have all the required facilities with available commercial, industrial, and official land use, moderate and highly suitable places need some facilities e.g., water supply, drainage management, road network and rearrangement of land use. Very few and partly suitable sites need major involvement of facilities and revisions of present land use for potential urban development. This information can be useful for policy makers for planning processes as an acceptable scientific process for site suitability analysis in the municipality area for avoiding the urban problems and ensuring sustainable development.

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In this paper, we implement the exp(−Φ(ξ))-expansion method to construct the exact traveling wave solutions for nonlinear evolution equations (NLEEs). Here we consider two model equations, namely the Korteweg-de Vries (KdV) equation and the time regularized long wave (TRLW) equation. These equations play significant role in nonlinear sciences. We obtained four types of explicit function solutions, namely hyperbolic, trigonometric, exponential and rational function solutions of the variables in the considered equations. It has shown that the applied method is quite efficient and is practically well suited for the aforementioned problems and so for the other NLEEs those arise in mathematical physics and engineering fields.PACS numbers: 02.30.Jr, 02.70.Wz, 05.45.Yv, 94.05.Fq.