Thats because adminlte includes jquery again at footer of page, which reset all jquery + jqgrid settings.
You can remove second jquery include and it should work.

please tell me on which page i have to remove jquery.

This level of support is out of the scope of PHPGrid.
You can hire some local developer for it.

@iqra. I've found the solution for laravel, admin-lte, and phpgrid integration.

@Abu Ghufran. Please can you update your Laravel Integration guide as per my findings? (This includes admin-lte integration, plus issue with dependent dropdown)

SOLUTION (ADMIN-LTE Integration):
In Controller index method

public function index() {
include(app_path().'Libraryphpgridjqgrid.php');//update accoring to your path
$g = new jqgrid($DbConfig);
$g->table = "accounts";
$out = $g->render("grdmain");

$grid_script = substr($out, strpos($out, "<script>"));
$grid = substr($out, 0, strpos($out, "<script>"));

return view('accounts.index', compact('grid', 'grid_script'));
}

and index.php page looks as follows: (Don't include jquery.js as it is already included)

@extends('adminlte::page')

@Section('css')
<link rel="stylesheet" href="{{ asset('vendor/phpgrid/themes/ui-lightness/jquery-ui.custom.css') }}">
<link rel="stylesheet" href="{{ asset('vendor/phpgrid/jqgrid/css/ui.jqgrid.bs.css') }}">

@Stop

@Section('js')
<script src="{{ asset('vendor/phpgrid/jqgrid/js/i18n/grid.locale-en.js') }}"></script>
<script src="{{ asset('vendor/phpgrid/jqgrid/js/jquery.jqGrid.min.js') }}"></script>
<script src="{{ asset('vendor/phpgrid/themes/jquery-ui.custom.min.js') }}"></script>

{!! $grid_script !!}
@Stop

@section('content')
{!! $grid !!}
@endsection

SOLUTION (Dependent Dropdown):
When using Laravel resource routes, the POST method is mapped to controller's store method. The dependent dropdown also uses the POST method that cause a conflict. You can update the routes in web.php as follows:

Web.php:

Route::resource('accounts', 'AccountsController', ['except' => ['store']]);
Route::post('accounts', (isset($_POST['target'])?'AccountsController@index':'AccountsController@store'))->name('accounts.store');

This is the work-around I've found. May be someone come with better solution.